Question

Solve for t.

2ln|t + 4| = 1

Please & thank you :)

Absolute value t + 4 btw if you couldn't tell!

Answer 1

first use this property

\[aln(b)=ln(b^a)\]

Answer 2

so just ln|t+4|^2.

Answer 3

alright now use

\[e^{ln(b^a)}=b^a\]

Answer 4

but remember if you make e the base on the left side you must do it on the right side

Answer 5

What would the answer be...this is one of the problems on my AP calc summer assignment & I don't remember this from precalc

Answer 6

well you'd get |t+4|^2=e^1

Answer 7

-2.35?

Answer 8

jk....

Answer 9

not quite take the square rt of both

Answer 10

I did, so it would be |t+4| = √e

Answer 11

\[|t+4|=\sqrt{e}\]

Answer 12

Then subtract 4

Answer 13

yes however you have the variable t so you should be + -

Answer 14

Okay, that's because of the absolute value right?

Answer 15

wait it will always be positive neverm

Answer 16

Okay lol thank you

Answer 17

so basically

t+4=-sqrt{e}

and

t+4=sqrt{e}

Answer 18

Thanks again!

Answer 19

\[\ln|t+4|=\frac{1}{2}\]
\[|t+4|=e^{\frac{1}{2}}\]
\[t+4=e^{\frac{1}{2}}\] or
\[t+4=-e^{\frac{1}{2}}\]