Do you know logarithmic rules?

Algebra Level 3

Let $a$ and $b$ be two positive numbers different from 1, such that $a^{3}\not =b^{2}$ , and $x=\log_{\frac{a^3}{b^2}}{\frac{b}{a}}$ . Then, which of the following expressions is $a^{3x+1}$ equal to?

b^{x}

b^{2x-1}

e^{x*y}

1

a*b

b^{2x+1}

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 7 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.