Question

How do you solve `4 Log_5 2 + Log_5 X = 3 Log_5 4 - Log_5 3`?

Answer 1

`X=4/3`

Explanation:

`4*log_5 2+log_5 X=3*log_5 4-log_5 3`
`log_5 2^4+log_5 X=log_5 2^(2*3)-log_5 3`
`log_5 (2^4*X) = log_5 (2^6/3)`
`2^4.X=2^6/3`
`X=2^6/(2^4*3)=2^2/3=4/3`