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
A question such as this one is a little tricky since the people seated are not in a straight line.
For a circular table seating question, (n-1)! formula is used. Without restrictions 5! people can be seated.
You might be wondering why it is not 6!, this is because the first person will the the 6 person so you are accounting for the same person twice.
Hope I helped :)
M is the centroid and the centroid divide the line in 1:2 ratio . So M divide BQ in 1:2 ratio and the total length of BQ is 18.
Therefore BM is one third of 18 . ANd one third of 18=6
So BM =6 and MQ=12 .
Answer:
0.0825
Step-by-step explanation:
1/4x1/3=0.0825
