Answer:
The solution of the logarithmic equation is [tex]x=54.59[/tex]
Step-by-step explanation:
Given : Expression [tex]4-3\ln x=-8[/tex]
To find : Solve the logarithmic equation?
Solution :
Step 1 - Write the expression,
[tex]4-3\ln x=-8[/tex]
Step 2 - Subtract 4 both side,
[tex]4-4-3\ln x=-8-4[/tex]
[tex]-3\ln x=-12[/tex]
Step 3 - Divide by -3 both side,
[tex]\frac{-3\ln x}{-3}=\frac{-12}{-3}[/tex]
[tex]\ln x=4[/tex]
Step 4 - Taking exponential both side,
[tex]x=e^4[/tex]
[tex]x=54.59[/tex]
Therefore, The solution of the logarithmic equation is [tex]x=54.59[/tex]
