Exercise
$\log_{\frac{1}{3}}\left(x+13\right)-\log_{\frac{1}{3}}\left(x+31\right)=1$
Step-by-step Solution
Learn how to solve definite integrals problems step by step online. Solve the logarithmic equation log1/3(x+13)-log1/3(x+31)=1. The difference of two logarithms of equal base b is equal to the logarithm of the quotient: \log_b(x)-\log_b(y)=\log_b\left(\frac{x}{y}\right). Take the variable outside of the logarithm. Any expression to the power of 1 is equal to that same expression. Simplifying the logarithm.
Solve the logarithmic equation log1/3(x+13)-log1/3(x+31)=1
Final answer to the exercise
$x=-4$