Answer:
[tex]{ \rm{ log_{x}(5) + log_{x}(12) = 7}} \\ \\ { \rm{ log_{x}(5 + 12) = 7}} \\ \\ { \rm{ log_{x}(17) = 7}} \\ \\ { \rm{17 = {x}^{7} }} \\ \\ { \boxed{ \rm{ {x}^{7} = 17 }}}[/tex]
• further more:
[tex]{ \rm{x = \sqrt[7]{17} }} \\ \\ { \boxed{ \rm{x = 1.5}}}[/tex]
The equivalent exponential equation is given by [tex]x^7 - 60 = 0[/tex].
What is an equation?Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.
As per the given data:
We are given a logarithmic equation, and we have to find out the equivalent equation with exponents.
The logarithmic equation given in the question is:
[tex]log_x5 + log_x12 = 7[/tex] ...(i)
By using the following property of logarithm, we can simplify this equation.
[tex]log_x(ab) = log_xa + log_xb[/tex]
By using this property in eq (i)
[tex]log_x[5 \times 12] = 7[/tex]
[tex]log_x[60] = 7[/tex]
By using logarithmic transformation.
[tex]x^7 = 60[/tex]
∴ [tex]x^7 - 60 = 0[/tex]
The equivalent exponential equation is given by [tex]x^7 - 60 = 0[/tex].
Hence, The equivalent exponential equation is given by [tex]x^7 - 60 = 0[/tex].
To learn more about equation, click:
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ILL GIVE BRAINLIEST!!!
Justin rode his bicycle 2.4 miles a day for 20 days straight. How many miles did Justin ride altogether during the 20-day stretch?
A. 48
B. 68
C. 28
D. 50.5
Justin rode his bicycle in a day = 2.4 miles
Justin ride altogether during the 20-days = ?
? = 2.4 × 20
? = 48
Therefore, Justin ride altogether during the 20-days stretch is 48 miles.
1-The diameter and a tangent are parallel.
A) always true
B) never true
2-The tangent at point B and the radius to point B are perpendicular to each other.
A) always true
B) never true
Answer:
always true always true
The function f whose graph is shown has f ′(x) = 0 at which of the following values of x?
A). -2
B). -3, -1, and 1
f '(x) = 0 only when the tangent line to the curve is horizontal. This happens at the local maximum of f(x) at x = -2.
Simplify the following expression:
4n − m + 3p + 2m − n − p
3n + m + 2p
3n + 5m − 2p
5n + 3m + 4p
5n + m − p
Answer:
-3/y+3 +1/-2y
x-2>3
9(-10-10y)
2x-5/3+x/4=1 ?????????
Answer:
X= 32/27
Step-by-step explanation:
..................that much only..........
For a corporation that has 2,500,000 shares of stock, how may shares would be needed to be a majority stock holder ? *
Step-by-step explanation:
a majority starts at half of the total mass + 1.
so,
2,500,000 / 2 = 1,250,000
and + 1 means then the majority would be
1,250,001 shares.
7 divided by $15.02. ROUND TO THE NEAREST CENT!! QUICKLY
Answer:
0.5
Step-by-step explanation:
7 / 15.02 US dollars = 0.466045273
Round to the nearest tenth: 0.5
I need help with this plz help
Answer:
just swap the first two and you should be good
I need help with this question, please?
Solving for x
g= x - c + y for x
Answer:
x= g+c-y
Step-by-step explanation:
add c to both sides
subtract y to both sides
leaves x all by itself on one side of the equation.
please help on all asap, tysm <33
Answer:
1. 4.22
2. 19.415
3. nine and thirty- five
4. Three and four hundred twelve
Step-by-step explanation
Dylan saves 7% of his $1450.00 bi-weekly net pay. Determine how many periods it will take for Dylan to have $5800.00 saved.
Answer:
Here,
2 weeks savings is 1450×(7/100) dollars = 101.5 dollars
So, Dylan can save,
101.5 dollars in 1 periods
1 dollars in 1/101.5 periods
5800 dollars in 5800/101.5 periods = 57.142 or 58 periods
Answer = 58 periods
Step-by-step explanation:
PLEASE HELP ME ITS ALGEBRA THANK YOUUUUUUU
Evaluate -c when c = 12
Answer: [tex]-12[/tex]
Step-by-step explanation:
[tex]-c=-(12)=\boxed{-12}[/tex]
Simplify the expression.
کے قر 125x
poter che correct answer.
Answer:
yz√5xy
Step-by-step explanation:
hope this helps
Can someone tell the
Tools of geometry answers
Answer:
It contains no marks. As the name says, it is a "straight edge." A ruler can be used as a straightedge by simply ignoring the measuring marks on it. Ruler.A ruler is a geometric tool used to measure the length of a line segment.
Step-by-step explanation:
acorrding to its packaging, the circular base of desk lamp has a circumference of 18.84 inchesm What is the lamp bases diameter?
use 3.14 for pi.
PLEASE HELPP
-5/2/-19/10
Pls Answer this question I can't figure it out!!!
Answer:
decimal result is 0.6 but fraction wise its 3/5
HELP FASTT THIS IS DUE TODAY
Answer:
45in & 87in^2
Step-by-step explanation:
W = 7*2.5in=17.5in
L = 2*2.5in=5in
Perimeter = 2(L+W)
2(5in+17.5in)
45in
Area = L*W
17.5in*5in=87in^2
Remember, Perimeter is linear while area is squared.
what is the percent of 3/8
Answer: 37.5%
Step-by-step explanation: To convert the fraction to decimal first convert to decimal and then multiply by 100. Therefore, the solution is 37.5%.
Answer:
37.5%
Step-by-step explanation:
What is the missing term of the geometric sequence below?
7, ?, 63,...
A: 28
B: 3
С: 35
D: 21
9514 1404 393
Answer:
D: 21
Step-by-step explanation:
The first term is (a1). The third term is (a1)r². The product of these terms is ...
(a1)(a1)r² = ((a1)r)², the square of the second term.
The missing term is √(7·63) = √441 = 21.
_____
Additional comment
In consideration of the above, you can also see that the common ratio can be found from ...
a3/a1 = ((a1)r²)/(a1) = r² = 63/7 = 9
Then the common ratio is r = √9 = 3, and the second term is 7·3 = 21.
A DVD that originally cost $30 is on sale for 10 percent off. Complete the steps to solve the problem
Step 1: Find the amount of the discount.
($30.00)(0.10) =
Step 2: Subtract the discount from the original amount to find the sale price,
Answer:
3$
Step-by-step explanation:
the discount is 27 so that leaves 3 dollars if
30-27=3 ^^
you have $50 in your bank account. Each week you plan to deposit $7 from your allowance and $10 from your paycheck. The equation b= 50 + (10 + 7)w gives the amount b in your account after w weeks. How many weeks from now will you have $150 in your bank account?
Answer:
Step-by-step explanation:
It will take 6weeks for you to have$150
Last month, 3,477 people visited the zoo. This month, 2,941 people visited the zoo.
How many more people visited the zoo last month than visited this month?
Answer:
536 people
Step-by-step explanation:
3477-2941=536
Answer:
536 more visitors visited the zoo last month this month.
Step-by-step explanation:
just subtract
The area of a square region is 529 mi2. What is the perimeter of the region?
Answer:
92 miles
Step-by-step explanation:
The area of a square is Length x Width. All sides of a square are equal in length so length = width. This is the same as saying x = length and x = width so X times X equals the area. X times X is X².
This tells you that X² = 529 mi². X would equal the square root of 529 which is 23. 23 x 23 = 529.
Each side of the square is 23 miles. The perimeter is equal to side 1 plus side 2 plus side 3 plus side 4. Again since it is a square all sides are equal.
This mean you can just take 4 x 23 miles. The perimeter = 92 miles
Answer:
The perimeter of the region is 92 miles
Step-by-step explanation:
For a given Square
Area = 529 mi²
Now, To find area we use formula
A = (l)²
529 = l²
√529 = l
23 = l
l = 23 miles
Now, To find perimeter of square we use,
P = 4l
P = 4 (23)
P = 92 miles
Thus, The perimeter of the region is 92 miles
-TheUnknownScientist 72
graph the equation
y=-2x+1
Start by plotting the y-intercept at (0,1).
From that point, count "up 2, right 1" to get a second point on your graph.
If needed repeat that "up 2, right 1" from that second point to get a third point.
Draw the line that connects these 2 or 3 points.
please helpppppppppppppppp
Answer:
a
Step-by-step explanation:
the balloon was at 595 feet
595
then it dropped 495 feet
525-495= 30
the equals 30 means that it is currently 30 feet above the ground
and if it dropped another 15 feet it would not reach the ground, which is zero, the balloon would still be 15 feet above the ground
30-15= 15
so the balloon never reached zero
Answer:
A
Step-by-step explanation:
I took the quiz and got a 100, please mark brainlyiest
What is the Co ordinates to fill in the grid in the top left?
Answer:
a ) x = - 3, y = 5
x = 0, y = 2
x = 5, y = - 3
b ) you should draw the line by marking the coordinates in the graph, then draw a straight line passing through all those three points.
Step-by-step explanation:
y = 2 - x
When x = - 3,
y = 2 - x
= 2 - ( - 3 )
= 2 + 5
y = 7
When x = 0,
y = 2 - x
= 2 - 0
y = 2
When x = 5,
y = 2 - x
= 2 - 5
y = - 3
b ) you should draw the line by marking the coordinates in the graph, then draw a straight line passing through all those three points.
JUST put x and get y
#-3
[tex]\\ \rm\rightarrowtail y=2+3=5[/tex]
#0
[tex]\\ \rm\rightarrowtail y=2-0=2[/tex]
#5
[tex]\\ \rm\rightarrowtail y=2-5[/tex]
[tex]\\ \rm\rightarrowtail y=-3[/tex]
Just identify if this is rational or not :))
Answer:
it is i think :(
Step-by-step explanation:
Pa help po pleass po
Answer:
Refer to the attachment
At the aquarium there are 1350 sharks and 600 lion fish, for a total of 1950 fish all together. What is the ratio of fish to lion fish?
Answer:
2.25 Sharks to 1 lion fish
Step-by-step explanation:
1350 sharks / 600 lion fish =2.25
