### Question Description

Expresss a single loartithm and if possible, siplify log4(3X-5)= 2

log4(3x-5) = 2

## Explanation & Answer

Thank you for the opportunity to help you with your question!

log4(3X-5)=2 we can write this

3X-5= 4^2

3X-5= 16

3X-5+5 = 16 + 5

3X = 21

X = 21/3

X = 7

**answer is X=7**

we can write

log a(b) = c

b = a^c

examples

01) log 10(x) = 2

x= 10^2= 100

02) log 2(x+1) = 4

x+1 = 2^4

X+1 = 16

x = 15