Question

Evaluate In 5.

Answer 1

The question is evaluate In 5

Answer 2

It's a log of base e, which is called a natural log. I just have no idea how to solve it.

Answer 3

natural log.

Answer 4

@dmartinez130 We could use log tables for this but if you know some standard logs then we can evaluate this. Do you want to know?

Answer 5

Yes please.

Answer 6

Just plug it in the calculator. You have sufficient information on how logs and natural logs work

Answer 7

I don't have a calculator that has log on it.

Answer 8

you need a calculator with log10 or ln they are cheap. probably even your cellphone has it.

Answer 9

how 'bout the computer calculator...???

Answer 10

We know
\[\ln 10=2.303\]
and
\[\log_{10} 10=1\]
and
\[\log_{10} 2=0.3010\]

Answer 11

if she takes a test she wont be able to use PC

Answer 12

Let's use these to find \(\ln 5\)
@dmartinez130
do you know the logarithmic property
\[\log_a b=\frac{\log_c b}{\log_c a}\]
?

Answer 13

\[\ln 5= \frac{\log_{10} 5}{\log_{10} e}\]
\[\ln 5= {\log_{10} 5}\times {\log_{e} 10}\]
\[\ln 5= {\log_{10} {\frac{10}2}} \times 2.303 \ ( since\ \log_e 10=\ln 10=2.303)\]
\[\ln 5= (\log_{10} -\log_{10} 2) \times 2.303\]
\[\ln 5= (1-0.3010) \times 2.303\]
I think you can evaluate now?