Algebra 2- Solving Logarithmic/Exponential Functions

Question

−4log5 x−5≥3 (the 5 next to the log is slightly below the log, for the log base I could also add a photo but I don't see an option and it failed when trying to copy and paste it. I am supposed to find x, any help would be appreciated!

Answer 1

OK, I think the correct equation is:

 

-4log₅(x) -5 ≥ 3

-4log₅(x) ≥ 8     [Added 5 to both sides]

log₅(x) ≤ -2       [Divided both sides by -4, so we have to switch the inequality sign]

x ≤ 5^-2              [Raised both sides as exponents with a base of 5]

0 <x ≤ 1/25

Answer 2

−4log₅ x−5≥3, x>0

−4log₅x≥8 (divide both sides by -4)

log₅x≤-2

x≤5^-2=1/5²=1/25

0<x≤1/25