Question

How to solve exponential equation for 4^(3m-1) • 32^(2m-3) = 4

Answer 1

Answer:

9.5/8 = 1.1875

Step-by-step explanation:

4^(3m-1) • 32^(2m-3) = 4

4^(3m-1) • (4^2.5)^(2m-3) = 4

Law of exponents

3m-1 + 2.5(2m-3) = 1

3m - 1 + 5m - 7.5 = 1

8m = 1 + 1 + 7.5

8m = 9.5

m = 9.5/8