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

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0To 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.

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1\(log_a b=c \implies a^c = b\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[2^m =\frac{1}{8}\]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. \(\log_2(2) = 1\) \[\log_2(2^m) = \log_2\left(\frac{1}{8}\right)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you are you he,lp me

freckles
 one year ago
Best ResponseYou've already chosen the best response.0hint: \[\frac{1}{8}=\frac{1}{2^3}=2^{3}\]
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