Question

Using the change-of-base formula, which of the following is equivalent to the

Answer 1

Given:

The logarithmic expression is:

$\log_718$

To find:

The equivalent expression of given expression by using change-of-base formula.

Solution:

The change-of-base formula is:

$\log_ba=\dfrac{\log_ca}{\log_cb}$

The given expression is:

$\log_718$

Using the change-of-base formula, we get

$\log_718=\dfrac{\log_c18}{\log_c7}$

Where, is a constant and c>0.

Let $c=10$, then

$\log_718=\dfrac{\log_{10}18}{\log_{10}7}$

Therefore, the correct option is a.