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1 vote
Write the expression as a single logarithm.

log₄ 2x - log₄ 6y

1 Answer

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Answer:


log_(4)((2x)/(6y))

Explanation:

According to the Quotient Rule (Logarithmic Property):


log_(a)x - log_(a)y = log_(a)((x)/(y))

Therefore, you could combine the logarithmic expressions as:


log_(4)2x - log_(4)6y = log_(4)((2x)/(6y))

Optional:

If ever you're required to simplify it further,
log_(4)((2x)/(6y)) will be:


log_(4)((2x)/(6y)) = log_(4)((x)/(3y))

User Pratik Charwad
by
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