How to solve this logarithmic equation with sum

serpebm2r

serpebm2r

Answered question

2022-04-01

How to solve this logarithmic equation with sum of exponential functions?
2xlog2(3536x129x12)

Answer & Explanation

Korbin Rivera

Korbin Rivera

Beginner2022-04-02Added 11 answers

Step 1
We need to solve
22x35186x239x,
where
35186x239x>0
and after substitution (32)x=t we obtain a quadratic inequality:
23t23518t+10.
I got the following answer.
(,1][2,log323512).

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