Exponentials and Logarithms

Simplify/Evaluate the expression: log₄(1/16)

• 2

• 1/2

• -1/2

• -2

Simplify/Evaluate the expression: log₂√2

• 2

• 1/2

• -2

• -1/2

Simplify/Evaluate the expression: 3^log₃⁸

• 8

• 3

• 2

• 2

Simplify/evaluate the expression: (8^2x)/32

• 2^2x-5

• 2^6x+5

• 2^6x-5

• 2^x

Solve: 3e^x + 2 = 11

• x = ln 3

• x = (ln 9) / 3

• x = 3

• x = e³

Tags

CCSS.HSF.BF.B.5

Solve: 5^3x = 9

• x = (log₅ 3) / 9

• x = (log_{9 5}) / 3

• x = (log₃ 9) / 5

• x = (log₅ 9) / 3

Tags

CCSS.HSF.BF.B.5

Solve: 2 log₇ 6 - log₇ 4 = log₇ x

• x = 2

• x = 9

• x = 32

• x = 8

Solve: ln x + ln(x + 4) = ln 21

• x = 8.5

• x = 3 ; x = -7

• x = 3

• x = -7

Solve: 8^2x ⋅ 16^x-1 = 2^20-2x

• x = 8

• x = 18/17

• x = 4

• x = 2

Solve: log₈ (x - 2) - log₈ x = 2

• x = -2 / 63

• x = 0

• x = -1 / 2

• x = 6