Question

Solve 4e^(3x) + 2 = 18.

1/3ln4
ln e3
ln 12
ln 7

Answer 1

Have you tried to isolate the exponential part?

Answer 2

that is first subtract 2 on both sides
then divide both sides by 4

Answer 3

Okay one sec

Answer 4

I have e^(3x) = 4

Answer 5

yep good

Answer 6

ok and knowing ln(e^u)=u
take ln( ) of both sides

Answer 7

now can you rewrite 4 as a power of 3

Answer 8

power of e* sorry lol

Answer 9

that was dyslexia on another level

Answer 10

so it would be e^4x= 3?

Answer 11

\[e^{3x}=4\]
okay u are good upto here right

Answer 12

yes

Answer 13

now \[4= e^{something}\]

Answer 14

you can just use the ln function but im trying to make you understand how bases work

Answer 15

\[e^{3x}=4\\
ln e^{3x}= ln 4\\
3x= ln4\\
x=ln(4)/3\]

Answer 16

Ohh okay so adding the ln to both sides removed the e

Answer 17

ln function is the inverse of e

Answer 18

do you know how logarithms work

Answer 19

Only vaguely

Answer 20

\[ln(y)=x ===> y=e^x\]
means x is the exponent on e to get y

Answer 21

Okay that makes sense. Thanks a ton!

Answer 22

So just making sure its A?