List the steps you would take to solve for "x."

Question

log₃9 + log₃2x² = log₃162 

 

I need to know how to solve this step by step so I am able to do other similar questions on my own. Thanks for the help :)

Answer 1

log₃9 + log₃(2x²) = log₃162

 

I would start by combining the terms on the left using log(a) + log(b) = log(ab)

 

log₃(18x²) = log₃162

 

Evaluate 3⁽⁾ on both sides and solve for x.

 

18x² = 162

 

x² = 162/18 = 9

 

x = ±3