Question

Solve the logarithmic equation. When necessary, round answer to the nearest hundredth.

4 - 3 ln x = -8

Answer 1

Exact Form:

x=e^4

Decimal Form:

x=54.59815003

Answer 2

The solution of the logarithmic equation is
`x=54.59`

Explanation:

Given : Expression
`4-3\ln x=-8`

To find : Solve the logarithmic equation?

Solution :

Step 1 - Write the expression,

`4-3\ln x=-8`

Step 2 - Subtract 4 both side,

`4-4-3\ln x=-8-4`

`-3\ln x=-12`

Step 3 - Divide by -3 both side,

`(-3\ln x)/(-3)=(-12)/(-3)`

`\ln x=4`

Step 4 - Taking exponential both side,

`x=e^4`

`x=54.59`

Therefore, The solution of the logarithmic equation is
`x=54.59`