Answer:
Option C: (3*x)^2 = 324
Step-by-step explanation:
Janene is solving the equation:
Log₃ₓ(324) = 2
First, some rules we need to remember:
Logₙ(x) = Ln(x)/Ln(n)
and:
Ln(x^b) = b*Ln(x)
So we can rewrite our expression as:
Log₃ₓ(324) = Ln(324)/Ln(3*x) = 2
Ln(324) = 2*Ln(3*x)
Now we can use the second property:
Ln(324) = 2*Ln(3*x) = Ln( (3*x)^2 )
The arguments in both sides must be the same thing, then:
324 = (3*x)^2
This is the exponential equation she needs to solve.
Then the correct option is C.
