Question

37. Write each logarithm as an equivalent expression involving only logarithms base 10.

Answer 1

Answer:

$\log_{3}(25) = \frac{\log_{10}(25)}{\log_{10}(3)} = 2.93$

Step-by-step explanation:

We can use this expression to change the base of a logarithm from b to d.

$\log_{b}(x) = \frac{\log_{d}(x)}{\log_{d}(b)}$

So, to write $\log_{3}(25)$ as base 10, we can use this formula.

$\log_{b}(x) = \frac{\log_{d}(x)}{\log_{d}(b)}$

$\log_{3}(25) = \frac{\log_{10}(25)}{\log_{10}(3)} = 2.93$