Answer:
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