help me 🦄

[swift bison]

Question 46: Know that the equation log 2/3 * x = log_3((x ^ 4)/3) has two solutions: a, b . Then a.b is equal to:

A. 64.

B. 8.

C. 81.

D. 9.

I tried to ask ChatGPT how to solve it with casio but it really makes me confused

[radiant umbra]

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[ember wadi]

To solve this you can use the properties of the log

log(a/b)=log(a)-log(b)

And log(a^n)=nlog(a) for any n

@swift bison

You can use this to simplify the right side of the equation then set X=log3(x) you’ll just have to solve a quadratic

[jaunty birch]

,rotate