Question

Solve the logarthmic equation. Round answers to the nearest hundredth. 6+In x=8

Answer 1

Answer:

Step-by-step explanation:

6 + ln(x)  = 8

ln(x) = 8 - 6

ln(x) = 2

x = $e^{2}$

x = 7.38905609893

x = 7

Answer 2

Answer:

x = e^2 = 7.39

Step-by-step explanation:

We have been given the logarithmic equation;

6+In x=8

The first step is to subtract 6 on both sides of the equation;

6 + ln x - 6 = 8 - 6

ln x = 2

We then introduce the exponential function, since the exponential function and the natural log function are inverses of each other;

$e^{lnx}=e^{2}\\\\x=e^{2}=7.38906$