Answer:
[tex]Log_5 12=1.54[/tex]
Step-by-step explanation:
We are given that
[tex]Log_5 12[/tex]
We have to find the value of given logarithms by using change-base formula
Base-change formula:
[tex]log_a b=\frac{Log_x b}{Log_x a}[/tex]
Where x=New base
Using the formula then, we get
[tex]Log_5 12=\frac{log_{10} 12}{log_{10} 5}[/tex]
Substitute the values [tex]log_{10}12=1.079, log_{10}5=0.699[/tex]
Then,we get
[tex]Log_5 12=\frac{1.079}{0.699}[/tex]
[tex]Log_5 12=1.54[/tex]
