How to find a rational number from an exponent

Practice Questions

ACT Math › How to find a rational number from an exponent

Questions

5

1

Which of the following is a value of that satisfies $\log_m256 =4$ ?

2

Solve for :

$\log_{4}a = 5$

3

Converting exponents to rational numbers often allows for faster simplification of those numbers.

Which of the following is incorrect? Convert exponents to rational numbers.

4

Sometimes, seeing rational numbers makes it easier to understand an equation.

Convert the following into a rational number or numbers:

$\frac{5^{\frac{1}{3}}\cdot 5^{\frac{4}{5}}}{5^{\frac{1}{15}}}$

5

Solve for :

$\log _{a}243 = 5$

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