Exponents and Logs by Properties

log₄1 = 

• 0

• 1

• 4

• DNE

Rewrite the equation into logarithmic form:
6² = 36

• log₆ 2 = 36

• log₆ 36 = 2

• ln 36 = 2

• 6³⁶ = 2

Rewrite in exponential form:
ln(2) = x

• 2^x = 10

• 10² = x

• e^x = 2

• e² = x

Logarithms are the inverse of ___________.

• Trees

• Quadratics

• Square

• Exponentials

Evaluate log₈ 8

• 8

• -1

• 0

• 1

Evaluate:
log₄16

• 2

• 4

• 1/2

• -2

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Evaluate log₅125

• 5

• 3

• 125

• 25

log₂(x + 5) = 3

• 3

• 4

• 5

• 6

Write 10⁴= 10000 in logarithmic form.

• log₁₀ 4 = 10000

• log₁₀₀₀₀ 4 = 10

• log₁₀ 10000 = 4

• log₄ 10000 = 10