SOLUTION: Use properties of logarithm to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using calculator. log4(4/x) Ev

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Question 277216: Use properties of logarithm to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using calculator.
log4(4/x)
Evaluate the expression without using a calculator.
log7 1/root:7

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Use properties of logarithm to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using calculator.
log4(4/x) = log4(4) - log4(x) = 1 - log4(x)
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Evaluate the expression without using a calculator.
log7 1/root:7
log7(1/sqrt(7))
= log7(1) - log7(sqrt(7))
= 0 -(1/2)log7(7)
= 0-1/2
= -1/2
========================
Cheers,
Stan H.

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