SOLUTION: Can you please help me to solve the following: sue the porperites of logarithms to evaluate this expression without using a calculator. 2log₈4 – 1/3log₈8 Thank

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Can you please help me to solve the following: sue the porperites of logarithms to evaluate this expression without using a calculator. 2log₈4 – 1/3log₈8 Thank      Log On


   

Question 404298: Can you please help me to solve the following:
sue the porperites of logarithms to evaluate this expression without using a calculator.
2log₈4 – 1/3log₈8

Thank you!
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
= log(16) - log(2)
= log(8), whatever the base is.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
2log8(4) – (1/3)log8(8)
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2[log(4)/log(8)] - (1/3)*1
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Let the base on the logs be "2" to get:
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= 2[2/3] - (1/3)
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= 3/3
= 1
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Cheers,
Stan H.
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