Examples with solutions for Power Property of Logorithms: Applying the formula

Exercise #1

2log38= 2\log_38=

Video Solution

Answer

log364 \log_364

Exercise #2

3log76= 3\log_76=

Video Solution

Answer

log7216 \log_7216

Exercise #3

log68= \log_68=

Video Solution

Answer

3log62 3\log_62

Exercise #4

xln7= x\ln7=

Video Solution

Answer

ln7x \ln7^x

Exercise #5

nlogxa= n\log_xa=

Video Solution

Answer

logxan \log_xa^n

Exercise #6

xlogm13x= x\log_m\frac{1}{3^x}=

Video Solution

Answer

x2logm3 -x^2\log_m3

Exercise #7

Calculate X:

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

Video Solution

Answer

4+10 -4+\sqrt{10}

Exercise #8

\log_{\frac{1}{3}}e^2\ln x<3\log_{\frac{1}{3}}2

Video Solution

Answer

\sqrt{8} < x

Exercise #9

Given 0<X , find X

log4x×log564log5(x3+x2+x+1) \log_4x\times\log_564\ge\log_5(x^3+x^2+x+1)

Video Solution

Answer

No solution