Math: log question-solving for x.

[shocklightnin]

Homework Statement

Solve: log(sub6)x+log(sub6)(x-5) = 2

Homework Equations

na?

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]

Instead of doing all of that use this rule

log_Aa+log_Ab=log_A(ab)

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

 

[icystrike]

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

 

[shocklightnin]

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

 

[Mark44]

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.