We want to solve an equation involving more than one logarithm. To do so, we will start by using the Change of Base Formula.
log_c a = log a/log cWhere log a represents represents the common logarithm of a.
Now, we should recall the Zero Product Property to find the solution of the given equation. Since the equation is already written in factored form, we can already use the Zero Product Property. Taking into consideration, that 1log 9 - 1log 6 is a number different than 0, we can obtain the solution.
log x ( 1/log 9 - 1/log 6) = 0
⇕
log x=0
⇕
x=1
Checking Our Answer
Checking the answer
To check our answer, we will substitute 1 for x in the given equation.
