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
Answer:
270
Step-by-step explanation:
Jones turns out 200 relays to Smith's 180. You set up that basic ratio and make a proportion out of it.
S/J = 180/200
Now you make your proportion
S/J = x/300
But the 2 ratios much remain the same.
180/200 = x / 300 Multiply both sides by 300
180*300/200 = x Multiply the numerator together.
54000/200 = x Do the division
270 = x
Smith will have turned out 270 relays.
In a direct proportion, the equation can be set up as
y = kx
k = y/x
k = 6/20
k = 0.3
Ratio 5:4
Total shares = 5+4 = 9
then to find for 1 share = 54/9 = 6
So Sam share = 6 x 5 = 30
Bethan share = 6 x 4 = 24
Poof: 30+24 = 54
Answer:
b
Step-by-step explanation:
because if you look at it the x-coordinate is -6 and the y-coordinate is positive 4
