Logarithm Operations

• log(x) + log(z) + 4log(y)
• 3log(x) − log(z) − 4log(y)
• 3log(x) + log(z) + 4log(y)
• log(x) − 4log(z) − 3log(y)

• A
• B
• C
• D

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Expand.

• log x + 5 log y

• 5 log x + 5 log y

• 5 log x - log y

• log x - 5 log y

• x=2, -3

• x=-3

• x=2

• no solution

What relationship do logarithms and exponentials have?

• they are identical operations

• they have a reciprocal relationship

• they are inverse operations

• they have no relationship

• all real numbers

Which of the following is not a property of logarithms?

• 3

• -3

• 6

• -6