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

corniness9a

corniness9a

Answered question

2022-10-08

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

Answer & Explanation

Olleschauvh

Olleschauvh

Beginner2022-10-09Added 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 ]
Tatiana Cook

Tatiana Cook

Beginner2022-10-10Added 3 answers

2 ln ( 2 x ) + 3 ln ( x 2 5 ) = ln ( 2 x ) 2 ( x 2 5 ) 3

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