what is the inverse and reciprocal of a log function ?

Question

hartnn · Answer

reciprocal of anything, is 1/anything
so reciprocal of log x = 1/log x

hartnn · Answer

inverse of log function is exponential function.
like if 
$x= \ln y \ then, y = e^x$

anonymous · Answer

Which of the following is true for the function y = log 3 x ?
Select one:
a. The inverse is y = x3
b. the reciprocal is y = x3
c. The inverse is y = 3x
d. The reciprocal is y = 3x

anonymous · Answer

so it would be c ?

anonymous · Answer

because the inverse is 3 ^ y = x which isnt an option

anonymous · Answer

i mean d

hartnn · Answer

whats log 3 x?
$\log_3 x \:\: or \log 3x$

anonymous · Answer

the first one you drew

hartnn · Answer

the inverse operation, 
$if, a = \log_cd \implies d = a^c \ y = \log_3x \implies x = 3^y$

anonymous · Answer

exactly so the answer would not be inverse, it would be one of the options with an reciprocal

hartnn · Answer

no, the reciprocal is just 1/ log3 x 
so the operation i showed was inverse

anonymous · Answer

ugh :c but none of the options is correct for the inverse. did you see my answer choices ?

hartnn · Answer

oh yeah
wait

anonymous · Answer

ok

hartnn · Answer

yeah, none of them is correct :/

anonymous · Answer

which one do you think i should mark though ? which one seems kinda right lol

hartnn · Answer

is the c. option 3x
if its 3^x then its exactly correct

anonymous · Answer

ok explain why so i can understand it

anonymous · Answer

@hartnn

hartnn · Answer

yeah, i just did
you got how x = 3^y ?
to get inverse function, just interchange x and y 
y = 3^x is inverse function

anonymous · Answer

ok thanks (:

anonymous · Answer

it was right (: thank you

hartnn · Answer

yaay! 
welcome ^_^