log square root x base 5 + log x base 25 = 3

Answer 1

so we have :

log_{5 (} sqrt(5)) + log₂₅ (x) =3

step 1 is do decide which log you want to work with, it doesn't matter which you choose.

You will need to know this formula:

log_a x = (log_b x) / (log_b a)

example:

you can choose the base b but some values make more sense than others. I would use a base that is already in the equation.

log₂₅ (10) ---> (log₃ 10) / (log₃ 25)