Answer-
<em>The inverse of
is </em>
![\boxed{\boxed{y=\log_3 x}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7By%3D%5Clog_3%20x%7D%7D)
<u>Solution-</u>
The given function is,
![y=3^x](https://tex.z-dn.net/?f=y%3D3%5Ex)
We can get the inverse by interchanging he variable x and y among themselves and then separating each variables.
So in the inverse would be,
![\Rightarrow x=3^y](https://tex.z-dn.net/?f=%5CRightarrow%20x%3D3%5Ey)
Taking log of both sides,
![\Rightarrow \log x=\log 3^y](https://tex.z-dn.net/?f=%5CRightarrow%20%5Clog%20x%3D%5Clog%203%5Ey)
As,
![\log a^b=b\times \log a](https://tex.z-dn.net/?f=%5Clog%20a%5Eb%3Db%5Ctimes%20%5Clog%20a)
Applying the same,
![\Rightarrow \log x=y\times \log 3](https://tex.z-dn.net/?f=%5CRightarrow%20%5Clog%20x%3Dy%5Ctimes%20%5Clog%203)
![\Rightarrow y=\dfrac{\log x}{\log 3}](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D%5Cdfrac%7B%5Clog%20x%7D%7B%5Clog%203%7D)
As,
![\log_b a=\dfrac{\log a}{\log b}](https://tex.z-dn.net/?f=%5Clog_b%20a%3D%5Cdfrac%7B%5Clog%20a%7D%7B%5Clog%20b%7D)
Applying the same,
![\Rightarrow y=\log_3 x](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D%5Clog_3%20x)
Therefore, the inverse of
is
.
33.2g/4 cakes = 8.3g/cake
8.3g*6 cakes = 49.8grams
Answer:
1/2
Step-by-step explanation:
4 fruit and 2 of them are banana so 2/4
banana go on top and total number of fruit go on bottom
to simplify divide numerator and denominator by 2
2/2 1
------ = ---------
4/2 2
Answer:
Well, "b" is just a variable. It's not really the function. I'm not quite sure what your asking. It can't be 1 because it can't. Math was founded on these mathematical laws. Consider talking to your teacher about this for further explanation.
Step-by-step explanation:
Answer:
41
Step-by-step explanation:
9^2+40^2=1681
the sqrt of 1681= 41