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

Question

asked Apr 1, 2023 33.8k views

1 Answer

Mattoc · Answer 1 · 2023-04-05T01:08:47+0000

Answer

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

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:

$e^{\operatorname{\ln}(4x+6)}=e^4$
4x+6=e^4

Solving for x:

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