Question 703803: Evaluate the following expression without using a calculator.
log base 64 of 8 = x
I changed this to 64^x = 8 Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Evaluate the following expression without using a calculator.
log base 64 of 8 = x
I changed this to 64^x = 8
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OK, then (8^2)^x = 8
Ans (8)^(2x) = 8
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Finally 2x = 1
x = 1/2
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Another way:
x = log64(8)
x = log(8)/log(64)
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Use base 8 on top and bottom:
x = log8(8)/log8(64)
x = 1/2
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Cheers,
Stan H.
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