Question

Solve the logarithmic equation. Round your answers to the nearest hundredth. 6+in x=8

Answer 1

Answer:

$x=7.39$

Step-by-step explanation:

we are given equation as

$6+ln(x)=8$

Since, we have to solve for x

so, we will isolate x on anyone side

Firstly, we will subtract both sides by 6

$6+ln(x)-6=8-6$

$ln(x)=2$

now, we can take exponent of e on both sides

$e^{ln(x)}=e^2$

now, we can use property of log

and we get

$e^{ln(a)}=a$

we can use it

$x=e^2$

So, solution is

$x=7.39$

Answer 2

Well, assuming is not inches, and instead is ln(x).

$\bf \textit{Logarithm Cancellation Rules}\\\\ log_a a^x= x\qquad \qquad \boxed{a^{log_ax}=x}\\\\ -------------------------------\\\\ 6+ln(x)=8\implies ln(x)=2\implies log_e(x)=2 \\\\\\ e^{log_e(x)}=e^2\implies x=e^2$