Question

Solve this equation for x. round your answer to the nearest 0 = ln (x+6)

Answer 1

Answer: $x=-5$

Step-by-step explanation:

To solve this exercise you need to remember the following:

$e^{lnx}=e^{lny}$ → $x=y$

Therefore, keeping the above on mind, you can solve for x as following:

$e^0=e^{ln(x+6)}$

$e^0=x+6$

Remember that, by definition: $a^0=1$, then you have:

$1=x+6$

Subtract 6 from both sides of the equation.

Then the value of x is:

$1-6=x+6-6\\x=-5$