Solve the equation. \ln(-4-x)+\ln3=\ln(2-x)

generals336

generals336

Answered question

2021-11-10

Solve the equation.
ln(4x)+ln3=ln(2x)

Answer & Explanation

lobeflepnoumni

lobeflepnoumni

Skilled2021-11-11Added 99 answers

Step 1 
The equation displayed is ln(4x)+ln3=ln(2x) 
Using the logarithmic property, lnu+lnv=ln(uv), we get, 
ln(4x)+ln3=ln(3(4x)) 
ln(4x)+ln3=ln(123x) 
When we add this to the initial equation, we obtain
ln(123x)=ln(2x) 
123x=2x 
122=3xx 
14=2x 
x=7 
Step 2 
Thus, x = -7 satisfies ln(4x)+ln3=ln(2x).

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