Question

Demonstrating how to solve ln2 + lnx = 5 for x. Show how to give an exact answer and an approximate answer rounded to the nearest tenth. (Please do not leave out any steps and make it as simple as possible to understand) I will give brainliest.

Answer 1

Answer:

Exact answer:

$x=\frac{e^5}{2}$

Approximate answer:

$74.2$

Step-by-step explanation:

$ln(2)+ln(x)=5$

Use the logarithm product rule ($log(x)+log(y)=log(xy)$):

$ln(2x)=5$

Put it in exponential form:

$2x=e^5$

$x=\frac{e^5}{2}$

Exact answer:

$x=\frac{e^5}{2}$

Approximate answer:

$74.2$