Change-of-Base Formula for Logarithms: Applying the formula

Examples with solutions for Change-of-Base Formula for Logarithms: Applying the formula

Exercise #1

log85log89= \frac{\log_85}{\log_89}=

Video Solution

Answer

log95 \log_95

Exercise #2

log4x9log4xa= \frac{\log_{4x}9}{\log_{4x}a}=

Video Solution

Answer

loga9 \log_a9

Exercise #3

log89alog83a= \frac{\log_89a}{\log_83a}=

Video Solution

Answer

log3a9a \log_{3a}9a

Exercise #4

log9e2log9e= \frac{\log_9e^2}{\log_9e}=

Video Solution

Answer

2 2

Exercise #5

log74= \log_74=

Video Solution

Answer

ln4ln7 \frac{\ln4}{\ln7}

Exercise #6

ln4x= \ln4x=

Video Solution

Answer

log74xlog7e \frac{\log_74x}{\log_7e}