Solve the equation. \log_{6}(2x-3)=\log_{6}12-\log_{6}3

Ernstfalld

Ernstfalld

Answered question

2021-09-19

Solve the equation.
log6(2x3)=log612log63

Answer & Explanation

sovienesY

sovienesY

Skilled2021-09-20Added 89 answers

Step 1
Given equation is:
log6(2x3)=log612log63
We have to solve this equation.
Step 2
Then we get,
log6(2x3)=log612log63
log6(2x3)=log6123
log6(2x3)=log64
2x3=4; (Since the base is same as 6 on both sides)
2x=4+3
2x=7
x=72
x=3.5
Hence the answer.

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