## anonymous one year ago What value of m solves the equation 2^m = 1/8

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1. IrishBoy123

use $$log_2$$

2. anonymous

?

3. IrishBoy123

$$log_2 4 = 2$$

4. anonymous

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.

5. IrishBoy123

$$log_a b=c \implies a^c = b$$

6. anonymous

hi

7. anonymous

hi

8. anonymous

can you help me

9. anonymous

with what

10. anonymous

study island

11. anonymous

$2^m =\frac{1}{8}$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. $$\log_2(2) = 1$$ $\log_2(2^m) = \log_2\left(\frac{1}{8}\right)$

12. anonymous

13. anonymous

you are you he,lp me

14. anonymous

hello

15. freckles

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