Logarithmic equations with different bases I had problems understanding how to solve 6^(-log_(6)^2) Any help would be much appreciated.

pilinyir1

pilinyir1

Answered question

2022-09-23

Logarithmic equations with different bases
I had problems understanding how to solve
6 log 6 2
Any help would be much appreciated.
Thanks!

Answer & Explanation

Absexabbelpjl

Absexabbelpjl

Beginner2022-09-24Added 8 answers

Let,
x = 6 log 6 2
Thus,
log 6 x = log 6 2 = log 6 2 1 = log 6 1 2 x = 1 2
Colten Andrade

Colten Andrade

Beginner2022-09-25Added 3 answers

e x = y l n ( y ) = x e l n ( y ) = e x = y t h u s : 6 l o g 6 ( 2 ) = ( 6 l o g 6 2 ) 1 = ( 2 ) 1 = 1 / 2

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