Distributing out log equation log_(27)x=1−log_(27)(x−0.4) log_(27)(x(x−0.4))=1 x=5.4,x=−5 I'm confused on the second line. How come it is not log_(27)(x+x−0.4)?

kilmchixvoicktf

kilmchixvoicktf

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2022-08-19

Distributing out log equation
log 27 x = 1 log 27 ( x 0.4 )
log 27 ( x ( x 0.4 ) ) = 1
x = 5.4 , x = 5
I'm confused on the second line. How come it is not log 27 ( x + x 0.4 )?

Answer & Explanation

Kristen Garrison

Kristen Garrison

Beginner2022-08-20Added 11 answers

log ( a ) + log ( b ) = log ( a b ) where log ( x ) is the logarithm in any base.

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