Question

8) Solve the exponential equation

Answer 1

5/8 =x

Explanation:

2 ^ ( 3x-5) = ( 1/32) ^x

Rewriting 1/32 as 2 ^ -5

2 ^ ( 3x-5) = ( 2^-5) ^x

We know that a^b^c = a^ ( b*c)

2 ^ ( 3x-5) = ( 2) ^-5x

Setting the exponents equal

3x-5 = -5x

Subtract 3x from each side

3x-5-3x = -5x-3x

-5 = -8x

Divide each side by -8

-5/-8 = -8x/-8

5/8 =x