anonymous
  • anonymous
What value of m solves the equation 2^m = 1/8
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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IrishBoy123
  • IrishBoy123
use \(log_2\)
anonymous
  • anonymous
?
IrishBoy123
  • IrishBoy123
\(log_2 4 = 2\)

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More answers

anonymous
  • 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.
IrishBoy123
  • IrishBoy123
\(log_a b=c \implies a^c = b\)
anonymous
  • anonymous
hi
anonymous
  • anonymous
hi
anonymous
  • anonymous
can you help me
anonymous
  • anonymous
with what
anonymous
  • anonymous
study island
Jhannybean
  • Jhannybean
\[2^m =\frac{1}{8}\]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
  • anonymous
so the answer is 2
anonymous
  • anonymous
you are you he,lp me
anonymous
  • anonymous
hello
freckles
  • freckles
hint: \[\frac{1}{8}=\frac{1}{2^3}=2^{-3}\]

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