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

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

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.

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rock.freak667 Recognitions: Homework Help	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

shocklightnin	Math: log question-solving for x. 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.