Question

What value of m solves the equation 2^m = 1/8

Answer 1

Here, you must be knowing that:
\[8 = 2 \times 2 \times 2 \implies 8 = 2^3\]

Answer 2

So:

\[\frac{1}{8} = \frac{1}{2^3} \implies \frac{1}{8} = 2^{-3}\]

Answer 3

So, just equate the two things:

\[\large 2^m = 2^{-3}\]

Equate the exponents of left and right hand side to get m..

Answer 4

@ari2403 I need your response here.. :)

Answer 5

thank you so much