Question

If 32^3x = 1/8. Find the value of x. (I was told to write my answer in a certain way. E.g. 2^5 instead of x=32)

Answer 1

-1/5

Explanation:

32^3x = 1/8

ln32^3x = ln(1/8) = ln8^-1

3xln32 = -ln8

x = -ln8/3ln32

=-ln(2^3)/3ln2^5

= -3ln2/15ln2

= -3/15

= -1/5