SOLUTION: How do I solve these two logarithms. I have the problems 5 ^x-1/3 = power 3 square root of 5 (the 3 is small and on top of the square root) and log (base 4) (x-2) + lo

Question 895258: How do I solve these two logarithms.
I have the problems
5 ^x-1/3 = power 3 square root of 5 (the 3 is small and on top of the square root)
and
log (base 4) (x-2) + log (base 4) (x+1) =1
I would like some help with the steps that I could go about solving these logs
thank you
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
5 ^x-1/3 = power 3 square root of 5 (the 3 is small and on top of the square root)

Decimal approximation for the right member, and then table of common logarithms or calculator to continue.

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

How do I solve these two logarithms.
I have the problems
5 ^x-1/3 = power 3 square root of 5 (the 3 is small and on top of the square root)
and
log (base 4) (x-2) + log (base 4) (x+1) =1
I would like some help with the steps that I could go about solving these logs
thank you

If ? Then

OR
x = - 2 (ignore,as this is an EXTRANEOUS solution)
You can do the check!!
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