9 2 yx = log log x

Name __________________________________________________
M3L12 – Problem Set
Date _______________
CCA2 Per____________
1. Given log2 = x and log3 = y
Express in terms of x and y
a) log
2
9
b) log
3
6
2. Multiple Choice: If log 8 = w, then log 640 equals which of the following?
Show your work!
(a) 4w + 1
(b) 10w 2
(c) w + 80
(d) 2w + 1
(c) 2y
(d) y
3. Multiple Choice: If log b x  y , then log b x 2 is
Show your work!
(a) y + 2
(b) y – 2
5. Given logx(7) = a, logx(2) = b, logx(5)=c, express the following in terms of a, b, and c.
a) logx(14)
b) logx(35)
c) logx(50)
6. Use the table below and the properties of logarithms to evaluate express each of the following in terms of a and b.
x
3
8
log(x)
a
b
a) log(80)
b) log(3000)
c) log(0.00008)
d) log(3.0 x 1027)