Logarithmical equation with addition of powers I just wonder how to solve the equation:

aligass2004yi

aligass2004yi

Answered question

2022-06-13

Logarithmical equation with addition of powers
I just wonder how to solve the equation:
3 x + 3 × 9 x = 1200
Mi first idea was to replace 9 x with 3 2 x . Then I can mutliply the powers:
3 x + 3 2 x + 1 = 1200
But how to go on?

Answer & Explanation

drumette824ed

drumette824ed

Beginner2022-06-14Added 19 answers

Just substitute:
z = 3 x z + 3 z 2 = 1200

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