Question

-4ln2x=-26
solve each equation or inequality. round to the nearest ten thousandth.

Answer 1

\[\ln 2x=\frac{13}{2}\]

Answer 2

Now put it in exponential form

Answer 3

Wait, I'm confused because so far I have \[\ln2x ^{-4}=-26\]

Answer 4

Ok. It would be much easier to just divide both sides by -4 but if you must...then
\[\ln (2x)^{-4}=-26\]

Answer 5

\[\ln \frac{1}{(2x)^4}=-26\]

Answer 6

Now put it in exponential form.

Answer 7

I need an answer put to the nearest ten thousandth

Answer 8

Then put it in exponential form.

Answer 9

What is the base?

Answer 10

\[e ^{13}=x ^{-4}\]

Answer 11

\[e ^{-26}=\frac{1}{(2x)^4}\]

Answer 12

So
\[(2x)^4=\frac{1}{e ^{-26}}=e ^{26}\]

Answer 13

Take the 4th root of both sides and divide the answer by 2