Question

solve the equation. check your answer.
in (6x + 1)=6
x≈
(round to two decimal places as needed.)

Explanation:

Step1: Use exponential - form conversion

Recall that if $\ln(a)=b$, then $a = e^{b}$. So, $6x + 1=e^{6}$.

Step2: Isolate the variable $x$

Subtract 1 from both sides: $6x=e^{6}-1$. Then divide both sides by 6: $x=\frac{e^{6}-1}{6}$.

Step3: Calculate the value

We know that $e^{6}\approx403.43$. So $x=\frac{403.43 - 1}{6}=\frac{402.43}{6}\approx67.07$.

Answer:

$67.07$