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# Logarithmic Inequalities

Logarithmic inequalities are useful in analyzing situations involving repeated multiplication, such as interest and exponential decay.

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

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

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