1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Hitman42 [59]
2 years ago
6

Select the equation that has the same solution as the equation below. 5^(2x-5)= 125

Mathematics
1 answer:
Ahat [919]2 years ago
3 0

The equation that has the same solution as 5^{(2x-5)} = 125 is: C.64 = 2^{(3x - 6)}

<h3>How to Solve Equations having Exponents</h3>
  • To solve such, simplify the bases so that the base on the right equals the base on the left.
  • Then solve the equation for the variable.

Given:

5^{(2x-5)} = 125\\\\5^{(2x-5)} = 5^3\\

  • The bases will cancel out

2x - 5 = 3

  • Solve for x

2x = 3 + 5

2x = 8

x = 4

The solution of 5^{(2x-5)} = 125 is 4.

Thus:

64 = 2^{(3x - 6)}\\\\2^6 = 2^{(3x - 6)}\\\\6 = 3x - 6\\6 + 6 = 3x\\12 = 3x\\4 = x\\x = 4

Therefore the equation that has the same solution as 5^{(2x-5)} = 125 is: C.64 = 2^{(3x - 6)}

Learn more about equations with exponents on:

brainly.com/question/11832081

You might be interested in
Miss Guydan and her friend Alyssa are collecting food for the local food bank. Their goal is to collect 2100 pounds of food. The
Serjik [45]

Answer: Required equation: 400+25x = 2100

Variable: x = Number of days to donate 2100 pounds.

Step-by-step explanation:

Let x = Number of days.

y = Total pounds of food donated in x days.

Given: Initial amount of food = 400 pounds

Pounds of food donated per day = 25

Total food = Initial amount of food + (Pounds of food donated per day ) (Number of days)

y =  400+25x

Their goal is to collect 2100 pounds.

2100 = 400+25x  [Substitute y= 2100]

Required equation: 400+25x = 2100

Variable: x = Number of days.

4 0
2 years ago
Can someone answer this please
Ulleksa [173]
The scale used to make the model was 125 meters = 1 foot. 525 divided by 4.2 equals 125 meters.
The mode is 84 sheets of plywood tall.
4.2 feet = 50.4 meters
50.4 meters divided by 0.6 equals 84 sheets.
7 0
3 years ago
Simplify the polynomial 3x^2+5x-5x^2-4x+5-2
zepelin [54]
Hope this helps tried to color code it

7 0
3 years ago
Which ratio is equivalent to 9/36 <br> A. 6/9<br> B. 1/2<br> C. 1/3<br> D. 1/4
vodomira [7]
D because divide both sides by nine

5 0
3 years ago
Read 2 more answers
HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEEEE WILL GIVE BRAINLIST
Nadya [2.5K]

Answer:

width = 18 cm

27/3.6=7.5

2.4x7.5=18

4 0
3 years ago
Other questions:
  • Peter makes $7,000 a month plus some extra commission he makes 6% of everything he sells if Peter sold $55,000 of jewelry this m
    6·1 answer
  • I need the answer to solve this I’ve been stuck all day
    9·1 answer
  • Please answer quickly:
    13·1 answer
  • How does multiplying a vector by a scalar value of -pi / 4 change the vector?
    15·1 answer
  • There are 15 non fiction books and 37 fiction books in the teacher's collection. Which ratio can be used to express fiction book
    8·1 answer
  • Find the distance between the two points rounding to the nearest tenth (if necessary).
    13·1 answer
  • Write<br> -4<br> _<br> 7<br> as a decimal.
    5·1 answer
  • Not sure how I would solve this
    11·1 answer
  • How do I solve log(2)t^3-1=-3?
    11·1 answer
  • 2x - y=4<br> y=4 - 2x<br> Give your answer as an ordered pair.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!