Power Property of Logorithms - Examples, Exercises and Solutions

$2\log_38=$

$\log_364$

$3\log_76=$

$\log_7216$

$x\ln7=$

$\ln7^x$

$\log_68=$

$3\log_62$

$n\log_xa=$

$\log_xa^n$

$x\log_m\frac{1}{3^x}=$

$-x^2\log_m3$

Solve for X:

$\log_3(x+2)\cdot\log_29=4$

$2$

7\log_42<\log_4x

2^7 < x

Calculate X:

$2\log(x+4)=1$

$-4+\sqrt{10}$

$2\log(x+1)=\log(2x^2+8x)$

$x=\text{?}$

$-3+\sqrt{10}$

$\frac{1}{2}\log_3(x^4)=\log_3(3x^2+5x+1)$

$x=\text{?}$

$-\frac{5}{4}\pm\frac{\sqrt{17}}{4}$

$\frac{\log_45+\log_42}{3\log_42}=$

$\log_810$

$\frac{2\log_78}{\log_74}+\frac{1}{\log_43}\times\log_29=$

$7$

$\frac{\log_311}{\log_34}+\frac{1}{\ln3}\cdot2\log3=$

$\log_411+\log e^2$

$\frac{\log_76-\log_71.5}{3\log_72}\cdot\frac{1}{\log_{\sqrt{8}}2}=$

$1$