Answer:
x=6
Step-by-step explanation:
81^x = 27 ^(x+2)
81 = 3^4 and 27 =3^3 so replace 81 and 27 in the equation
3^4^x = 3^3^(x+2)
When we have a power to a power we can multiply the exponents
a ^b^c = a^(b*c)
3^(4x) = 3^(3*(x+2))
Since the bases are the same, the exponents have to be the same
a^b = a^c means b=c
4x = 3(x+2)
Now we can solve for x
Distribute
4x = 3x+6
Subtract 3x from each side
4x-3x = 3x-3x+6
x = 6
No of substes is given by 2^n where n is the no of elements.
Here, n = 3
Therefore, number of subsets = 2^3 = 8
If x=girls,
then we have 3x boys.
We know that all children are boys+girls, so x+3x, which is 4x and 4x is 48, so one x is 12.
So there are 12 girls and 36 boys.
Answer:
A
Step-by-step explanation:
I think it would be 8*9+8*16 which would be 72+128= 200
