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# Use the Laws of logarithms to rewrite the expression

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Use the Laws of logarithms to rewrite the expression

$$\log_5 \sqrt[3]{x^2+18}$$

in a form with no logarithm of a product, quotient or power.
After rewriting we have

$$\log_5 \sqrt[3]{x^2+18}= A \log_5 f(x)$$

with the constant A=

and the function f(x)=

Jun 7, 2018

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(1/3) log5 (x^2+18)

a= 1/3

f(x) = x^2 + 18

Jun 7, 2018

#1
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