Answer:
The inverse of
y
=
2
x
is
y
=
log
2
x
Explanation:
This is how to do it.
From the given
y
=
2
x
interchange the variables so that
x
=
2
y
then solve for y:
x
=
2
y
take the logarithm of both sides with base
=
2
log
2
x
=
log
2
2
y
log
2
x
=
y
and
y
=
log
2
x
The graph of
y
=
2
x
and its inverse
y
=
log
2
x
. They are symmetric with the line
y
=
x
graph{(y-2^x)(y-log x/log 2)(y-x)=0[-20,20,-10,10]}
4/3 (k)(k + 7)(3k + 9)
4/3 (k)(3k^2 + 9k + 21k + 63)
4/3 (k)(3k^2 + 30k + 63)
4/3 (3k^3 +30k + 63)
4k^3 +40k +84
Answer:
Step-by-step explanation:
We have 
23 x 36 mod 5 = 3 (since unit digit is 8)
23x36 mod 11 =3
Since 5 and 11 are prime we get
23x36 mod 55 = 3 mod 55
--------------------------------------------------
b) 91 = 13 x7

29x51 mod 91 =23