Express the given expression as a single logarithm Express 2ln(2−x)+3ln(x^2−5)

corniness9a 2022-10-08 Answered
Express the given expression as a single logarithm
Express
2 ln ( 2 x ) + 3 ln ( x 2 5 )
as a single logarithm.
Can anyone help me with this question? Thanks
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Answers (2)

Olleschauvh
Answered 2022-10-09 Author has 4 answers
Using properties of logarithms we have
a ln b = ln b a
and
ln x + ln y = ln x y
We get
2 ln ( 2 x ) + 3 ln ( x 2 5 ) = ln ( 2 x ) 2 + ln ( x 2 5 ) 3 = ln [ ( 2 x ) 2 ( x 2 5 ) 3 ]
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Tatiana Cook
Answered 2022-10-10 Author has 3 answers
2 ln ( 2 x ) + 3 ln ( x 2 5 ) = ln ( 2 x ) 2 ( x 2 5 ) 3
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