SOLUTION: Use the Laws of Logarithms to rewrite the expression in a form with no logarithm of a product, quotient, or power
log sqrt[x sqrt[y sqrt[z]]]
I got = 1/2 logX [1/2 log y[1/2
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Question 47953This question is from textbook College Algebra
: Use the Laws of Logarithms to rewrite the expression in a form with no logarithm of a product, quotient, or power
log sqrt[x sqrt[y sqrt[z]]]
I got = 1/2 logX [1/2 log y[1/2 log z]]] ?
Thank you so much!
This question is from textbook College Algebra
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
log sqrt[x sqrt[y sqrt[z]]]
=log [x*sqrt(y*sqrt(z))]^(1/2)
=log [x sqrt(yz^(1/2))]
=log[x y^(1/2)z^(1/4)]
=log[x^(1/2)y^(1/4)z^(1/8)]
=(1/2)logx + (1/4)logy + (1/8)logz
Cheers,
Stan H.
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