Rewrite as a single log with a coefficient of one. (4ln (x))-(3ln (x))+(1/4ln(x))

Elena Simmons

Elena Simmons

Answered question

2022-09-04

Rewrite as a single log with a coefficient of one.
( 4 ln ( x ) ) ( 3 ln ( x ) ) + ( 1 / 4 ln ( x ) )

Answer & Explanation

Leon Clark

Leon Clark

Beginner2022-09-05Added 9 answers

the coefficient in front of the log can be moved to the inside ofthe log by raising whats inside the log to the power of thecoefficient:
A ln ( x ) = ln ( x A )
if you do that to each part of the equation, you get:
ln ( x 4 ) ln ( x 3 ) + ln ( x 1 / 4 )
when you subtract logs, you can combine them by dividing whatever is in the inside of the logs
ln ( x 4 / x 3 ) + ln ( x 1 / 4 )
simplify: ln ( x ) + ln ( x 1 / 4 )
when you add logs, you can combine them by multiplyingwhatever is inside the logs
ln ( x x 1 / 4 )
simplify and you get your answer:
ln ( x 5 / 4 )

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