2⁴ = ?

32

log₃7 + log₃13

Use the Product Property!

log₃91

Use the Product Property

log₃(20/5)

Use the Quotient Property

log₃20 - log₃5

Use the Quotient Property

log₃3⁷=

Use the Power Property

7log₃3

Use the Power Property

13^₂ = x

169 = x^y

What is the formula for Loudness?

L= 10 x log₁₀R

What is this formula used for?

log₅125 = 3

Put this into Exponent Form

5³ = 125

Convert this into a logarithm.

 Logarithms

The inverse of exponential functions.

8⁰=

1

2^3x+5=128

Solve

2^3x+5=2⁸

3x+5 = 8

3x = 3

x=1

y = -(1/5)^x

What is the first step to solving this equation?

Make a table.

27^2x= 3^x-2

Solve.

3^3(2x)= 3^(x-2)

6x = x-2

5x = -2

x= -2/5

log₁₀₀₀3=10

10³=1000

log₄1/4 = -1

4^-1 = 1/4

 14³

2744 = 14^x

What is exponential form?

x^y=z

log10 =

log₁₀10

5³- 2³

1

 In the loudness formula, what is log₁₀R stand for?

Relative Intensity

22²

484