# Logarithms-26

### From Homeworkwiki

**Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this.**

log_{8} (x + 4) + log_{8} (x + 2) = log_{8} 48

**Solution:**

log_{8} (x + 4) + log_{8} (x + 2) = log_{8} 48

or, log_{8} [(x + 4)(x + 2)]=log_{8} 48

or, x^{2}+6x+8=48

or, x^{2}+6x-40=0

or, x^{2}+10x-4x-40=0

or, x(x+10)-4(x+10)=0

or, (x+10)(x-4)=0

Either , x+10=0 or, x= -10 .

Or, x-4=0 or, x=4 .