Pre-Calculus 12: Worksheet #4 Logarithms
1.
Solve each equation:
a.
log 6 𝑥 + log 𝑥 (𝑥 − 16) = 2
b.
log 2 (2 − 2𝑥) + log 2 (1 − 𝑥) = 5
c.
log(2𝑥 + 4) − log(𝑥 + 2) = log(𝑥 + 1)
d.
log 2 (𝑥 + 4) − log 2(𝑥 − 2) = 1 + log 2 (2𝑥 − 1) − log 2 (𝑥 + 1)
e.
log 6 48 = log 6 (𝑥 + 7) + log 6(𝑥 − 1)
f.
log 25(𝑥 − 1) + log 25 (𝑥 + 3) = log 7 √7
g.
log 2 (log 𝑥 (log 3 27)) = −1
h.
2 log 4 𝑥 − 3 log 𝑥 4 = 5