# How do you solve 5 * 18^(6x)=26?

Mar 28, 2016

You must "undo" the order of operations in reverse!

#### Explanation:

Step 1: Divide both sides by 5:
${18}^{6 x} = \left(\frac{26}{5}\right)$

Step 2: Apply properties of logarithms:
${\log}_{18} \left(\frac{26}{5}\right) = 6 x$ (the power is the answer to a log)

Step 3: Use a calculator to evaluate the left side:
$.570397 = 6 x$

Step 4: Divide both sides by 6:
$.095066 = x$