Solving Exponential and Logarithmic Functions Review

Solve for x: log₃x=log₃9

• x=3

• log 9

• x=9

• 3x

Solve for x: log₅5=x

• x=5

• x=1

• log 5

• x=27

-10log₂ x + 8 = -12

• 8

• 12

• 1296

• 4

Convert 10^(x+5)=100 to logarithmic form.

• log₁₀₀=x+5

• log(x+5)=100

• log(100)=x+5

• log_(x+5)(100)=10

What is the domain?

• (-∞, ∞)

• (0, ∞)

• [1, ∞)

• (1, ∞)

• -4.614

• -4.236

• -5.307

• -0.334

• 0.61

• 2.6

• No Solution

• -1.61

Write in logarithmic form.
2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4

• log_-4(¹/₁₆) = 2

• log _-4 2 = ¹/₁₆

• log₂(-4) = ¹/₁₆

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2