SOLUTION: solve log base(1/2) 32

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Question 433135: solve log base(1/2) 32
Found 2 solutions by katealdridge, stanbon:
Answer by katealdridge(100) About Me  (Show Source):
You can put this solution on YOUR website!
log%281%2F2%2C32%29
First try setting the expression equal to x. It sometimes makes things clearer.
log%281%2F2%2C32%29=x Then covert it to an exponential equation.
%281%2F2%29%5Ex=32 Then try changing each base into a base of 2.
%282%5E-1%29%5Ex=2%5E5 By power of a power rule:
2%5E%28-x%29=2%5E5 Now since the bases are the same you can simply set the exponents equal to each other.
-x=5 Therefore:
x=-5

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
solve log base(1/2) 32
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Let x = log1/2(32)
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Then (1/2)^x = 32
Then 2^-x = 2^5
So, -x = 5
and x = -5
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Cheers,
Stan H.
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