SOLUTION: Evaluate the following expression without using a calculator. log base 7 of root 7 = x I changed the form of the equation to 7^x=sqrt(7)

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Question 703797: Evaluate the following expression without using a calculator.
log base 7 of root 7 = x
I changed the form of the equation to 7^x=sqrt(7)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Evaluate the following expression without using a calculator.
log base 7 of root 7 = x
I changed the form of the equation to 7^x=sqrt(7)
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OK, then 7^x = 7^(1/2)
Finally, x = 1/2
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Another way to do it:
log7(sqrt(7)) = x
x = log7(7^(1/2))
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x = 1/2*log7(7)
x = (1/2)*1
x = 1/2
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Cheers,
Stan H.
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