How can I solve the following equation: \(\displaystyle{2}^{{{{\log}_{{3}}{x}}}}+{x}^{{{{\log}_{{3}}{2}}}}={4}\) I

Pasegeabe85xy

Pasegeabe85xy

Answered question

2022-03-27

How can I solve the following equation:
2log3x+xlog32=4
I don't want the final answer, I want to know how I can solve these kind of equations.

Answer & Explanation

pastuh7vka

pastuh7vka

Beginner2022-03-28Added 13 answers

Put x=3y
Simplify 2log3x and xlog32 as follows:
log3x=log33y=ylog33=y
xlog32=(3y)log32=(3log32)y=2y

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