How do I reduce this: 2 x ln &#x2061;<!-- ⁡ --> (

tiyakexdw4

tiyakexdw4

Answered question

2022-05-14

How do I reduce this: 2 x ln ( 4 ) ??
Given Given 2 x ln ( 4 ) , how does it reduce to 1 x ln ( 2 ) ?

Answer & Explanation

Elliana Shelton

Elliana Shelton

Beginner2022-05-15Added 14 answers

Recall that
ln ( a b ) = b ln ( a )
Then
2 x ln ( 4 ) = 2 x ln ( 2 2 ) = 2 2 x ln ( 2 ) = 1 x ln ( 2 )
Deshawn Cabrera

Deshawn Cabrera

Beginner2022-05-16Added 4 answers

You can also use the fact that
ln ( A B ) = ln ( A ) + ln ( B )
to get
2 x ln ( 4 ) = 2 x ( ln ( 2 ) + ln ( 2 ) ) = 2 2 x ln ( 2 ) = 1 x ln ( 2 ) .

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