Question

what is log small 6 25 to four decimal points?

Answer 1

Plug it into a calculator? Or use the change in base formula.

Answer 2

\[\log _{6}25\]

Answer 3

\(\bf \textit{change of base formula of }log_ab=\cfrac{log_cb}{log_ca}\qquad thus
\\ \quad \\
log_625\implies \cfrac{log_{10}25}{log_{10}6}
\)

Answer 4

well a simple way to handle it is the change to base to base 10 or base e

I'll show you base e

\[\log_{6}(25) = \frac{\ln(25)}{\ln(6)}\]

now you can just pick up a scientific calculator and evaluate

Answer 5

yeah im not good with calculators..care to further elaborate the equation?

Answer 6

http://desmos.com/calculator

Answer 7

well just enter

\[\ln(25) \div \ln(6) = \]

that will give you an answer

and here is a calculator it works on

http://web2.0calc.com/

Answer 8

thanks.