Algebra

Logarithmic Inequalities

Logarithmic Inequalities - Base < 1

         

What is the range of xx that satisfies the logarithmic inequality log13(5x7)log13(3x+5)?\log_{\frac{1}{3}}(5x-7) \geq \log_{\frac{1}{3}}(3x+5) ?

What is the maximum integer value of xx that satisfies the logarithmic inequality log12(x4)>log14(2x5)?\log_{\frac{1}{2}}(x-4) > \log_{\frac{1}{4}}(2x-5) ?

What is the range of xx that satisfies the logarithmic inequality log0.4(x223)log0.4(x5)<log0.47?\log_{0.4}(x^2-23) - \log_{0.4}(x-5) < \log_{0.4}{7} ?

What is the range of xx that satisfies the logarithmic inequality log0.5(2x+61)>3?\log_{0.5}{(2x+61)} > -3 ?

What is the range of xx that satisfies the logarithmic inequality log15x>log17x?\log_{\frac{1}{5}}x > \log_{\frac{1}{7}}x ?

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