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
Laugh out loud a pun isn't it
Answer:
168
Step-by-step explanation:
Answer:
You can buy 7 waffle cones.
Step-by-step explanation:
Let sundae = x
Let waffle cones = y
4.25x + 3.75y ≤ 50
4.25 (5) + 3.75y ≤ 50
21.25 + 3.75y ≤ 50
3.75y ≤ 28.75
y ≤ 7.666666666
* round to the nearest whole to get 7
