Question

logarithmic functions

Answer 1

Prove that \[\frac{ lnx }{ xln10 } + \frac{ logx }{ x }\] = \[\frac{ 2lnx }{ xln10 }\]

Answer 2

use the change of base formula to change log x to ln x

Answer 3

I assume log x means log base 10 x

Answer 4

i forgot...i m doing derivatives and i got the first answer...book says the first answer can be solved to second one...i just dont remember log functions anymore

Answer 5

http://www.purplemath.com/modules/logrules5.htm

Answer 6

\[ \log x = \frac{\ln x}{\ln(10)} \]

Answer 7

he's correct

Answer 8

nm got it thx

Answer 9

you could use a calculator and check. most calculators do both natural log and log base 10

Answer 10

$$
\cfrac{\cfrac{ln(x)}{ln(10)}}{x} \implies \cfrac{ln(x)}{xln(10)}
$$

Answer 11

yes, and you get your result