The Sum of Logarithms: Inequality

Question 1

$\log_47+\log_42\le\log_4x$

$x=\text{?}$

Question 2

$x=\text{?}$

$\ln(x+5)+\ln x≤\ln4+\ln2x$

Question 3

$\log_{0.25}7+\log_{0.25}\frac{1}{3}<\log_{0.25}x^2$

$x=\text{?}$

Examples with solutions for The Sum of Logarithms: Inequality

$\log_47+\log_42\le\log_4x$

$x=\text{?}$

$14\le x$

$x=\text{?}$

$\ln(x+5)+\ln x≤\ln4+\ln2x$

$0 < X \le 3$

$\log_{0.25}7+\log_{0.25}\frac{1}{3}<\log_{0.25}x^2$

$x=\text{?}$

$-\sqrt{\frac{7}{3}} < x < 0,0 < x < \sqrt{\frac{7}{3}}$