Question

what is the range and domain of y = log base of 5 x

Answer 1

x can't be negative or 0. So the domain is (0, infinity).

Answer 2

& the range is (-infinity, +infinity) because, no matter which real number you substitute for y, you'll get a corresponding x such that \(\Large5^y=x\)

Answer 3

@sahura do you want me to explain it furthur?

Answer 4

thank you so much , u dont have to explain it furthur
bt i also need help with this other problem : how do i find the inverse of y= log [base 4] x

Answer 5

this statement will be your friend for all questions like this:
The logarithm of a number w.r.t a base is the index to which the base must be raised in order to get the number.
This statement should allow you to write x in terms of y.

Answer 6

@rajathsbhat, im sorry, i still dont understand how to solve it

Answer 7

could u please explain further how to solve what is the inverse of y = log base of 4 x

Answer 8

so the link is saying that 4x is the inverse , so whats the answer?

Answer 9

you see, by definition (which i have mentioned in the previous reply),
\[\Large y=\log _4x\Rightarrow x=4^{y}\]
This implies that 'x' is the inverse of 'y'. And what is that 'x'? It is \(4^{y}\)

Answer 10

Put simply, \(x=4^{y}\) is the inverse function of \(y=\log _4x\)

Answer 11

oh now i understand, thank you so much for your help :)

Answer 12

:)