Answer:
option (a) is correct.
[tex]\log_7 (50)=2.010[/tex]
Step-by-step explanation:
Given : [tex]\log_7{50}[/tex]
We have to chose out of given options that is equivalent to [tex]\log_7{50}[/tex] rounded to three decimal places.
Consider [tex]\log_7{50}[/tex]
Using property of logarithms,
[tex]\log_a b=\frac{\log_eb}{\log_ea}[/tex]
Then given expression [tex]\log_7{50}[/tex] becomes
[tex]\log_7 (50)=\frac{\log_e(50)}{\log_e7}[/tex]
Also, [tex]\log_e50=3.91202...\\\log_e7=1.94591...[/tex]
Substitute, we get,
[tex]\log_7 (50)=\frac{3.91202..}{1.94591...}[/tex]
[tex]\log_7 (50)=2.010[/tex](rounded off 3 decimal place)
Thus, option (a) is correct.
