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1.
(x4)(x7) = x11
2.
Find log3 14
= log3 (2)(7) = log3 2 + log3 7 = 0.6310 + 1.7712 = 2.4022
3.
x7 x2 = x5
4.
log3 4
= log3 20 5 = log3 20 – log3 5 = 2.7268 – 1.4650 = 1.2618
5.
(x4)5 = x20
6.
Find log4 36
= log4 62 = 2 log4 6 = 2(1.2925) = 2.585
7.
logb b =
1 log4 4 = 1 log9 9 = 1
8.
log3 4 =
1.2618 Find log3 48 = log3 (3)(42) = log3 3 + log3 42 = log3 3 + 2 log3 4 = 1 + 2(1.2618) = 1 + 2.5236 = 3.5236
9.
Find = log2 (3)(25) =
log2 3 + log2 25 = log2 3 + 5 log2 2 = 1.5850 + 5(1) = 6.5850
10.
Find
11.
Solve
or
12.
Solve
.
13.
Solve
log2 x(x – 6) = 4 x(x – 6) = 24 x2 – 6x – 16 = 0 (x – 8)(x + 2) = 0 x = 8 or x = -2
14.
Solve
log3 x2 – log3 62 = log3 4 log3 x2 – log3 36 = log3 4 x2 log3 = log3 4 36 x2 = 4 36 x2 = 144 x = 12 or x = -12