Ch.3 Review

Properties

100

log_a1 equals to

0

200

ln(e) equals to

1

300

log_aa^x equals to

x

400

ln(u/v) equals to

ln(u) - ln(v)

500

log_auⁿ equals to

nlog_au

Problem Solving

100

Solve ln(x-1)=ln(4)

x=5

200

Solve f(x) = log₄x , x = 64

y=3

300

Solve 2^x-2 = 64

x=8

400

What is the domain of ln(x+6)?

(-6, infinity)

500

What is the domain ln(x²-1)

(-infinity, -1) U (1, infinity)

Intense Problem Solving

100

Simplify ln[(x²-1)/x³] , x > 1

ln[(x-1)]+ln[(x+1)]-3ln(x)

200

Simplify ln[3/(x+1)^1/2]

ln(x) - (1/2)ln(x+1)

300

Solve ln(x) - ln(x+1) = ln(2)

No solution

400

Solve e^2x - 4e^x - 5

x = ln(5)

500

Solve log₃x + log₃(x-2) = log₃(8)

x=4