Exponential and Logarithmic Review

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Evaluate:
log₄16

• 2

• 4

• 1/2

• -2

Evaluate log₅  20 to the third decimal place

• 0.537

• 2.996

• 1.301

• 1.861

log₄1 = 

• 0

• 1

• 4

• DNE

Solve log₂ (2 - 2x) + log₂ (1 - x) = 5

• 4

• 5

• -2

• -3

Solve 2.8^x = 41

• 0.277

• 3.607

• -0.282

• 3.684

Solve log₅ (x + 3) = log₅ x + log₅ 3

• 3/2

• 9/2

• 2/3

• No Solution

Solve log₂ (x² - 1) = 3 + log₂ (x - 1)

• 4

• 2

• 1

• 7

Solve log₉ (x - 4) + log₉ (x + 1) = log₉ (x + 5) + log₉ (x - 6)

• 17/2

• -9/16

• 13

• -8

Solve 4^{2x - 1} = 5^{x + 2}

• 2.167

• 3.959

• 2.008

• 0.253