1. Number and Algebra

Laws Of Logarithms — Quiz

Test your understanding of laws of logarithms with 5 practice questions.

Practice Questions

Question 1

Which logarithmic law states that the logarithm of a product is the sum of the logarithms of the factors, provided the base is the same and the expressions are positive?

Question 2

Using the laws of logarithms, what is the value of $\log_{10}(1000)$?

Question 3

Which expression is equivalent to $\log_b\left(\frac{x}{y}\right)$, where $x>0$ and $y>0$?

Question 4

What is the expanded form of $\log_b\left(x^4\right)$, assuming $x>0$?

Question 5

Which expression is equivalent to $\log_b x+\log_b y$?