Power Property of Logorithms: Inequality

Question 1

$7\log_42<\log_4x$

Question 2

$\log_35x\times\log_{\frac{1}{7}}9\ge\log_{\frac{1}{7}}4$

Question 3

Find the domain X where the inequality exists

$2\log_3x<\log_3(x^2+2x-12)$

Question 4

Find the domain of X given the following:

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

Examples with solutions for Power Property of Logorithms: Inequality

$7\log_42<\log_4x$

$2^7 < x$

$\log_35x\times\log_{\frac{1}{7}}9\ge\log_{\frac{1}{7}}4$

$0 < x\le\frac{1}{245}$

Find the domain X where the inequality exists

$2\log_3x<\log_3(x^2+2x-12)$

$6 < x$

Find the domain of X given the following:

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

No solution