Question

Write your answer as a fraction or round your answer to two decimal places

Answer 1

`x=(e^(4)-6)/(4)\approx12.15`

Step-by-step explanation

Given:

`\ln(4x+6)=4`

As it is a natural logarithm, the base for this is Euler's constant, meaning that:

`e^(\ln(a))=a`

Thus, applying this to both sides of the equation we get:

`4x+6=e^4`

Solving for x:

`4x=e^4-6`
`x=(e^4-6)/(4)\approx12.15`