# Math: log question-solving for x.

#### shocklightnin

1. The problem statement, all variables and given/known data
Solve: log(sub6)x+log(sub6)(x-5) = 2

2. Relevant equations

na?

3. The attempt at a solution

i multiplied the second log out and got:
log(sub6)x+log(sub6)x-log(sub6)5 = 2
then i put the x's on one side and the numbers on the other.
2(log(sub6)x) = 2+log(sub6)5

but i have no idea how to go from there. or maybe i multiplied it out wrong?

#### rock.freak667

Homework Helper
Instead of doing all of that use this rule

logAa+logAb=logA(ab)

and then use the fact that logAa=n ⇒ a=An

#### icystrike

https://www.physicsforums.com/attachment.php?attachmentid=22534&stc=1&d=1260947038
Try to understand each steps that i proceed.

#### Attachments

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#### shocklightnin

Ah! I see now, thank you both so much!

#### Mark44

Mentor
Remember that from your original equation x has to be positive and x has to be greater than 5 (which together mean that x > 5). Otherwise one of the terms in your original equation will be undefined.

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