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Use the Laws of Logarithms to expand the expression.
log3 (4x/y)

1 Answer

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Answer: log((4x/y))/log3

GIVEN log3(4x/y)

simpifying this expression using the properties of logarithm,

log3(4x/y)=log3(4x)-log3(y)

now simplifing each term ,

using change of base formula

1) log3(4x)=log(4x)/log(3)

2) log3(y)=log(y)/log(3)

putting it all together,

log(4x/y)=log(4x)/log(3) -log(y)/log(3)

log(4x/y)=log((4x/y))/log3

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User Obto
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