Answer: 24 days
Step-by-step explanation:
Sandy plays tennis once every 6 six days while Jim plays tennis once every 8 eight days.
To get the number of days they will play on the same day again, we find the lowest common multiple for the numbers.
The lowest common multiple is the smallest positive integer which is evenly divisible by both 6 and 8.
6 = 6, 12, 24, 30
8 = 8, 16, 24, 32
The lowest common multiple is 24.
In 24 days, they will play on the same day again
The cube root is 1
The Answer is A. 1
There are a few you can choose from:
Statistics and probability
Geometry
Proofs
Triangles
Circles
Numerical sequences
Number Theory
etc.
You can take the log of the left and right hand side, and then apply the <span>logarithm rules:
log(a</span>ˣ) = x·log(a)
log(ab) = log(a) + log(b)
log(9^(x-1) * 2^(2x+2)) = log(6^(3x))
log(9^(x-1)) + log(2^(2x+2)) = 3x log(6)
(x-1) log(9) + (2x+2) log(2) - 3x log(6) = 0
x(log9 + 2log2 - 3log6) = log9 - 2log2
x = (log9 - 2log2) / (log9 + 2log2 - 3log6)
simplifying by writing log9 = 2log3 and log6 = log2+log3
x= 2(log3 - log2) / (2log3 + 2log2 - 3log2 - 3log3) =
x= -2(log3 - log2) / (log3 + log2) = -2 log(3/2) / log(6)
So 6^x = 4/9
