Given:
The equation is
[tex]5^x=55[/tex]
To find:
The value of x.
Solution:
We have,
[tex]5^x=55[/tex]
Taking log both sides, we get
[tex]\log (5^x)=\log (55)[/tex]
[tex]x\log (5)=\log (55)[/tex] [tex][\because \log x^n=n\log x][/tex]
[tex]x=\dfrac{\log (55)}{\log (5)}[/tex]
Using the log values, we get
[tex]x=\dfrac{1.740}{0.699}[/tex]
[tex]x=2.48927[/tex]
[tex]x\approx 2.49[/tex]
Therefore, the correct option is B.
