Question

Consider the logarithmic function f(x) = log10(x).

Answer 1

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

Answer 2

$log_{10} 50=1.70$