# How do you evaluate log_6 18?

May 6, 2016

Log form and index form are interchangeable.
Value = 1.613

#### Explanation:

Let ${\log}_{6} 18 = x$ ......................this is in log form

${6}^{x} = 18$ ...................................this is in index form.

${6}^{1} = 6$ and ${6}^{2} = 36$, so $x$ should be 1.????

$\log {6}^{x} = \log 18$

$x \log 6 = \log 18$

$x = \log \frac{18}{\log} 6$ ....................there are no laws for this.

Use a calculator to find the value

$x = 1.613$