https://file.aiquickdraw.com/mathbot/file/1726788069977a9uc9wzm.jpg

The equation shown in the image is:

\[
3^{\log(4x^2 + 3)^3} + 4^{\log(x^2 - 1)^2} = 39
\]

We need to solve this equation for \( x \).

Let's break it down and simplify step by step.

1. Rewrite the exponents in a simpler form:
   - \( 3^{\log(4x^2 + 3)^3} = 3^{3\log(4x^2 + 3)} = (3^{\log(4x^2 + 3)})^3 \)
   - Similarly, for the second term: \( 4^{\log(x^2 - 1)^2} = 4^{2\log(x

Solve the equation: 3^log(4x^2 + 3)^3 + 4^log(x^2 - 1)^2 = 39 for x.

Learn how to solve a complex equation involving logarithms and exponentiation: 3^log(4x^2 + 3)^3 + 4^log(x^2 - 1)^2 = 39. This detailed solution breaks down the steps to simplify and solve the equation using logarithmic properties and exponentiation rules. Suitable for students in Grades 10-12.

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