Question

Solve ln 2 + ln x = 5. Round to the nearest thousandth, if possible.

Answer 1

Answer:

The  value of x nearest to thousandths is, 74.207

Step-by-step explanation:

Solve :  $\ln 2 + \ln x = 5$

$\ln$ represents the logarithmic function with base e.

Using logarithmic properties:

• $\ln (mn) = \ln m + \ln n$

• $\ln x = a$ , then $x = e^a$

$\ln 2 + \ln x = 5$

Apply the logarithmic properties; we have

$\ln 2x = 5$

then;

$2x = e^5$

or

$2x=148.41315910258$

Divide both sides by 2 we get;

$x = 74.2065796$

Therefore, the value of x nearest to thousandths is, 74.207