Algebra
# Logarithmic Inequalities

Solve the logarithmic inequality $\log_3(x-9)+\log_3(x-7)<1.$

Solve the logarithmic inequality $\log_2 (15x-17) \ge \log_2 (x+16).$

How many positive integers $x$ satisfy the inequality $\log_{0.1} (x-15) - \log_{0.1} (301-x) > 0$?