How to solve 5^ (2x-3) = 125

Question

Laney Miller

Mathematics

14 January, 02:44

How to solve 5^ (2x-3) = 125

+4

Answers (2)

Know the Answer?

Triston Short · Answer 1

x=14 or 14x

Step-by-step explanation:

5*2=10

5*3=15

10x-15=125

+15=+15

10x=140

/10=/10

x=14

Shamar Cherry · Answer 2

x = 3

Step-by-step explanation:

Solve for x over the integers:

5^ (2 x - 3) = 125

Multiply both sides by 125:

5^ (2 x) = 15625

15625 = 5^6:

5^ (2 x) = 5^6

Equate exponents of 5 on both sides:

2 x = 6

All equations give x = 3 as the solution:

Answer: x = 3