how do i solve these two problems?

Question

3log(base5)^(x^2+9)-6 = 0
log(base8)^(n-3) + log(base8)^n+4)= 1

can you tell me step by step as well as the answers? please and thank you

Answer 1

Here is how to do the first one. The second is similar. First simplify the algebra. Then write the log equation in a different form.

3 log(base5)^(x^2+9) = 6
log(base5)^(x^2+9) = 2
Which is another way of saying:
5^2 = 25 = x^2 + 9
x^2 = 16
x = + or - 4

Answer 2

how'd you get the log(base5)^(x^2+9) = 2 ?

Answer 3

I divided both sides of the first equation by 3. It's a perfectly "legal" operation when dealing with algebraic equations.