Simplifying Logarithmic Expressions

log₂(¹/₈) = -3

• 2^-3 = ¹/₈

• 2^1/8 = -3

• -3² = ¹/₈

• -3^1/8 = 2

Tags

CCSS.HSF.BF.B.5

Write log₃ 81 = 4 in exponential form.

• 81⁴=3

• 81³=4

• 4³=81

• 3⁴=81

Tags

CCSS.HSF.BF.B.5

Expand the logarithmic expression log(base 3) (27x^2).

• log(base 3) (9x)

• log(base 3) (81x^2)

• 3log(base 3) (x)

• 2log(base 3) (3x)

Expand the logarithmic expression log(base 4) (64x^3).

• 3 + log(base 4) (x)

• log(base 4) (8x)

• log(base 4) (16x)

• log(base 4) (32x)

log₂16=

• 2

• 16

• 8

• 4

Tags

CCSS.HSF.BF.B.5

Simplify log₄4^3x

• 3x

• 3

• 4

• 4^3x

Simplify: e^ln7

• log_e7

• 7

• ln7

• e⁷

• 1

• ln(x)

• x

Simplify e^ln(x)

• 0

• 1

• x

• 8