Question

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

Answer 1

use \(log_2\)

Answer 2

?

Answer 3

\(log_2 4 = 2\)

Answer 4

To explain this with words, think of 2^m = 8. This would be 3, no? Then to get to 1/8, simply make the exponent negative.

Answer 5

\(log_a b=c \implies a^c = b\)

Answer 6

hi

Answer 7

hi

Answer 8

can you help me

Answer 9

with what

Answer 10

study island

Answer 11

\[2^m =\frac{1}{8}\]You need to solve for m, thus eliminating the base, taking \(\log_2\) of both sides, as @IrishBoy123 said would simplify the left side, therefore solving for m. \(\log_2(2) = 1\) \[\log_2(2^m) = \log_2\left(\frac{1}{8}\right)\]

Answer 12

so the answer is 2

Answer 13

you are you he,lp me

Answer 14

hello

Answer 15

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