Question

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

Answer 1

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

Explanation:

Step 1: Divide both sides by 5:
`18^(6x)=(26/5)`

Step 2: Apply properties of logarithms:
`log_(18)(26/5) = 6x` (the power is the answer to a log)

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

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