Question

solve for x: ln(-5x+3)=ln2x+2

Answer 1

ln(-5x + 3) = ln(2x) + 2
Subtracting ln(2x) from both sides gives
ln(-5x + 3) - ln(2x) = 2
By the rules of logarithms
\[\ln \frac{-5x+3}{2x}=2\]
Therefore
\[e ^{2}=\frac{-5x+3}{2x}\]
\[(7.389\times 2)x=-5x+3\]
Now you just need to solve for x.