Question

Can someone help me figure out how to solve this question?
In 4 + In (3x)=2

Answer 1

Note: I have absolutely no idea how to. I completely forgot

Answer 2

You need to know:

\(\color{#000000 }{ \displaystyle \ln(a)+\ln(b)=\ln(a\cdot b) }\)
\(\color{#000000 }{ \displaystyle \ln(z) =y\quad \Longrightarrow \quad z=e^y }\)

Answer 3

Use the first rule to combine the logarithms on the left side.

Answer 4

can you explain how i should plug them in because like i said, I have absolutely no idea. This was given to me as bonus for my teacher last week and she said that i could still do it

Answer 5

In your case,
a is 4
b is 3x

Answer 6

If you know;
\(\color{#000000 }{ \displaystyle \ln(a)+\ln(b)=\ln(a\cdot b) }\)

Then,
\(\color{#000000 }{ \displaystyle \ln(4)+\ln(3x)=? }\)

Answer 7

so its in (4) + in(3x)=2?

Answer 8

"in" ?

Answer 9

That is ell, not i.
"ln" denotes/abbreviates - natural logarithm

Answer 10

ln. sorry

Answer 11

Can you apply the [first] rule that I provided?

Answer 12

Im on my brothers account btw. Im in 7th grade and have absolutely no idea what ln means. Can you please explain it to me?

Answer 13

have you heard of a function \(e^x\) ?

Answer 14

yes, i have

Answer 15

Ok, very good