SOLUTION: Please help me solve this equation without using a calculator log(base 4) 2=0.5000 and log(base4) 3 approx=.07925; solve log(base 4) cube root 1/9

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Please help me solve this equation without using a calculator log(base 4) 2=0.5000 and log(base4) 3 approx=.07925; solve log(base 4) cube root 1/9      Log On


   

Question 733866: Please help me solve this equation without using a calculator log(base 4) 2=0.5000 and log(base4) 3 approx=.07925; solve log(base 4) cube root 1/9
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me solve this equation without using a calculator
log(base 4) 2=0.5000
log(base4) 3 approx=.07925
solve log(base 4) cube root 1/9
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log4(1/9)^(1/3) = (1/3)log4(3^(-2)) = (-2/3)log4(3)
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= (-2/3)(0.07925)
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= -0.05283333...
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Cheers,
Stan H.
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