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Expand a logarithmic expression.

Expand a logarithmic expression.-example-1
User MonkeyZeus
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1 Answer

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we are given


log(z^3√(x^5y) )

step-1: Firstly , we will expand log terms by using property


log(a*b)=log(a)+log(b)


log(z^3)+log(√(x^5y) )

step-2: Now, we can bring exponent in front


log(a^n)=n*log(a)


=log(z^3)+log(x^5y)^{(1)/(2)}


=3log(z)+(1)/(2)log(x^5y)

step-3: we can again expand second term


=3log(z)+(1)/(2)(log(x^5)+log(y))


=3log(z)+(1)/(2)(5log(x)+log(y))

so, we will get


=3log(z)+(1)/(2)(5log(x)+log(y))...............Answer

User Anshul Singhal
by
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