Express 4ln(x)+2ln(x^4y^3)+5ln(z) as a single logarithm Our teacher has shown us examples for the same base and when it's both add and subtract. But I'm not sure how to do this.

Daniella Reyes

Daniella Reyes

Answered question

2022-09-25

Express 4 ln ( x ) + 2 ln ( x 4 y 3 ) + 5 ln ( z ) as a single logarithm
Our teacher has shown us examples for the same base and when it's both add and subtract. But I'm not sure how to do this.

Answer & Explanation

moderrockblog09

moderrockblog09

Beginner2022-09-26Added 7 answers

Hint: r ln x = ln ( x r ), so 4 ln ( x ) = ln ( x 4 ). Also, ln ( x ) + ln ( y ) + ln ( z ) = ln ( x y z )
tarjetaroja2t

tarjetaroja2t

Beginner2022-09-27Added 2 answers

Hints:
log ( x ) + log ( y ) = log ( x y ) and n log ( x ) = l o g ( x n ) for logarithms of any base.

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