Question 114159: Need Help, Please!
Use the product,quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all variables represent positive real numbers.
1/2 log(2,x^4) + 1/4 log(2,x^4) - 1/6 log(2,x)
Thank you!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 1/2 log(2,x^4) + 1/4 log(2,x^4) - 1/6 log(2,x)
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Keep in mind that all these logs are base 2:
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log(x^4)^(1/2) + log(x^4)^(1/4) - log(x)^(1/6)
= log x^2 + log x - log x^(1/6)
= log[x^2*x/x^(1/6)]
= log[x^3/x^(1/6)]
= log[x^(17/6)]
= (17/6)log x
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Cheers,
Stan H.
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