Question

Use a calculator to approximate each to the nearest thousandth. I'm not sure how to type it into my calculator...

Answer 1

\[\log _{4}3.2\]

Answer 2

you do this:\[\frac{ \log_{10}(3.2) }{ \log_{10}4 }\]

works with ln button too

Answer 3

okay thank you!!! by the way do you know how to solve log equations? such as
\[10^{n}=47\]

Answer 4

yes
\[b^x\] is the inverse operation of\[\log_b (x)\]

therefore

\[\log_b(b^x) = x\]

so taking log base 10 of both sides:
\[10^n = 47\]\[\log_{10}(10^n) = \log_{10} (47)\]\[n = \log47\]

Answer 5

Awesome!!! Thank you!!!

Answer 6

glad i could help :)