Question

I'm new to Trigonometry Could anyone help me expand "ln 8x"?

Answer 1

\(\large\color{slate}{ \displaystyle \log(a\times b)=\log(a)+\log(b) }\)

Answer 2

Same thing would apply to a natural log:

\(\large\color{slate}{ \displaystyle \ln(a\times b)=\ln(a)+\ln(b) }\)

Answer 3

instead of a and b, you have 8 and x.

Answer 4

Thank You so much! My teacher isn't very good lol

Answer 5

Oh, tnx:) I am a calc II student, barely can do any math:)
that is very encouraging....

Answer 6

Literally, easiest explanation I've ever seen. Thanks again!

Answer 7

Surely:) yw

Answer 8

Also, \(\large\color{slate}{ \displaystyle \ln}\) is same thing as \(\large\color{slate}{ \displaystyle \log_e}\) (log w/ base e)
for example:
\(\large\color{slate}{ \displaystyle \ln(x)}\) is same thing as \(\large\color{slate}{ \displaystyle \log_e(x)}\) (just remember that)

and when you have just a log, without an unspecified base, then the base is 10.
in other words: \(\large\color{slate}{ \displaystyle \log(A)=\log_{10}A}\)

Answer 9

there are other rules.. if I be around, you can always tag me or anyone else on here, by putting @ in front of the useranem.

bye

Answer 10

in front of the *username

Answer 11

okay! thank you again!

Answer 12

yw