Exponential and Logarithms Review

Evaluate log_b(b)

• -1

• 0

• 1

• b

What kind of asymptotes do logs have?

• horizontal ( y=0)

• vertical (x=0)

Simplify log₄4^3x

• 3x

• 3

• 4

• 4^3x

Solve for x:

2^{3x - 1} = 32

• 0

• -1

• 5/3

• 2

log₆(2x + 3) = 3

• x = 106.5

• x = 100

• x = 16

• x = 50

Write b^k = m into logarithmic form.

• log _b m = k

• log _m k = b

• log _b k = m

• log _k m = b

Solve log(x) + log(x+3) = 1

• 5

• -2

• -5

• 2

log₂(x + 2) + log₂x  = 3

• -4, 2

• -2, 4

• 2

• 1