log question

[Guest]

I need help with this:
Solve:

log to the base 3( x+4) + log to the base 3(x-4) = 2

 

[stapel]

Hint: 2 = log₃(9)

Another hint: Use log rules to combine the logs on the left-hand side of the equation.

Eliz.

 

[Guest]

oh okay thanks, and you can help me refresh my memory on the log rules? do you put logsubscript 3 (3^2) when there are logs on the other side already? and dont you have to do the same to the other side or something like though?

 

[stapel]

oh okay thanks, and you can help me refresh my memory on the log rules?

Log Rules

do you put logsubscript 3 (3^2) when there are logs on the other side already?

That would be one method of solution.

dont you have to do the same to the other side or something like though?

I'm sorry, but I don't follow you. Do what "same" to which "other side"? What "something like" did you have in mind?

Thank you.

Eliz.

 

[Guest]

oh I meant since you're suddenly putting logsubscript 3 3^2 on one side but not the other..but I realized its just antoher way of writing 2 right?

 

[stapel]

its just antoher way of writing 2 right?

Since 2 = log₃(9), then, yes, "log₃(9)" is another way of writing "2".

Eliz.