Verified Answer :

\(log_{10} 50=1.70\)

Answer:

Using the logarithmic rules:

\(\log_b a = \frac{\log a}{\log b}\)

Given the  logarithmic function:

\(f(x) = \log_{10} x\)

We have to find the value of f(50), rounded to nearest hundredth.

Substitute the value of x = 50 in [1] we have;

\(f(50) = \log_{10} 50\)

Apply the logarithmic rules:

\(f(50) = \frac{\log 50 }{\log 10}\)

Simplify:

\(f(50) = \frac{1.69897000434}{1}\)

⇒\(f(50)=1.69897000434\)

Therefore, the value of f(50), rounded to nearest hundredth, is 1.70