1. solve the logarithmic equation

log(x+2)=log(5x-3)

2. Originally Posted by J_Pettway
log(x+2)=log(5x-3)
Exponentiate both sides with respect to base 10. This way, the logs will cancel out because $10^{\log(\text{JUNK})} = \text{JUNK}$

$x+2=5x-3$

$4x = 5$

$x = 1.25$