Pre-Calculus 12: Chapter 5 Logarithms Worksheet #1
1.
Evaluate:
a.
log 4 64
b.
log 2 16
c.
log 1 16
d.
log 0.01
e.
log 1 32
f.
log 10000
g.
log 5 √5
h.
log √6 36
i.
log 5 1
4
1
2
3
1
2.
3.
Solve for 𝑥:
a.
log 4 𝑥 = −2
b.
log 1 𝑥 = 3
c.
log 𝑥 81 = 4
d.
log 𝑥 8 = −3
e.
log 𝑥 = 2
5
Evaluate:
3
a.
log
b.
log 1 √125
c.
log 4 √64
√100
7
5
5
1
4.
5.
6.
6.
Solve for 𝑥:
a.
log 3 (𝑥 − 5) = 4
b.
log 1 √𝑥 = −4
2
Express each relation in logarithmic form:
a.
64 = 𝑥
b.
200 = 𝑥 3
Express each relation in exponential form:
a.
log 2 14 = 𝑥
b.
42 = log 1 𝑥
5
Determine the inverse of 𝑦 = 2𝑥+3 − 1
7.
1 3𝑥
4
Determine the inverse of 𝑦 = − ( )
+5