Solve the exponential equation by expressing each side as a

Solve the exponential equation by expressing each side as a power of the same base and then equating exponents. 4^x =8 The solution set is (Type an integer or a fraction Simplify your answer. Use a comma to separate answers as needed.)

Solution

4^x = 8

we will make nase of exponenet same on both sides

we can express 8 = 2*2*2 = 2^3 and 4 = 2*2 = 2^2

So, 4^x = 8

(2^2)^x = 2^3

2^2x = 2^3

x = 3/2 ( solution)