Rewriting a logarithmic equation with a fraction in front

The video tutorial explains how to rewrite variables as exponents in logarithmic expressions, focusing on log base 3 of 5X raised to the 1/4. It then reviews rational fractions and exponents, emphasizing the conversion of rational powers into roots. The instructor stresses the importance of rewriting problems to avoid leaving them as rational powers, ensuring clarity in mathematical expressions.

What is the logarithm of 5X raised to the 1/4 with base 3?

• log base 3 of 5X

• log base 3 of 5X raised to the 1/4

• log base 3 of 5X squared

• log base 5 of 3X raised to the 1/4

How can you express X to the A/B using roots?

• X to the B divided by A

• A root of X to the B

• B root of X to the A

• X to the A divided by B

What is the equivalent expression for X to the 3/2?

• X cubed divided by 2

• Cube root of X squared

• Square root of X cubed

• X squared divided by 3

Why is it important to rewrite rational powers as roots?

• It eliminates the need for exponents

• It changes the base of the logarithm

• It makes the expression more complex

• It simplifies the expression

What is the final form of the expression log base B of the fourth root of 5X?

• log base B of 5X

• log base B of 5X squared

• log base B of the fourth root of 5X

• log base B of 5X cubed