Question

Please help with exponential and log functions ! I'm new here...
17. Solve in 2 + in x = 5. Round to the nearest thousandth, if necessary.

Answer 1

You mean ln(2) + ln(x)?

Answer 2

i suppose, i just wrote it how it was on the lesson.

Answer 3

Well, that is a lowercase L. Anyway. Do you know what ln(a) + ln(b) is?

Answer 4

no :( i'm really bad at math

Answer 5

It is an identity that ln(a) + ln(b) = ln(ab).

Answer 6

ohhh it's an l lol i feel stupid

Answer 7

and okay i see

Answer 8

So ln(2) + ln(x) can be written as ln(2x).

Answer 9

i understand so far

Answer 10

Can you write 5 in terms of ln?

Answer 11

umm.. would it be ln(5) ?

Answer 12

Nope. Do you know what ln is?

Answer 13

natural log?

Answer 14

Yeah. For example, what is ln(e^2)?

Answer 15

2?

Answer 16

That is correct! So can you get 5 in terms of something's ln?

Answer 17

ln(e^5) maybe?

Answer 18

Yay!

Answer 19

ln(2x) = ln(e^5)

Answer 20

You should be able to do it now

Answer 21

i understand now! yay lol thanks!

Answer 22

Yeah, no problem!