Logarithmic and Exponential Functions

Evaluate: log₅(125)

• 5

• 3

• 2

• 25

• 10

Condense: 4log₂(2) + log₂(2x²) - log₂(2x)

• log₂(16x²)

• log₂(9x)

• log₂(32x²)

• log₂(16x)

Solve: log₅(10) + log₅(12) = 3log₅(2) + log₅(x)

• x = 2

• x = 10

• x = 15

• x = 21.3

• x = 8

Solve: 7^3x = 18. Round to the nearest tenth.

• x = 0.5

• x = 2.3

• x = 3.6

• x = 10.4

• x = 1.5

Tags

CCSS.HSF.LE.A.4

Rewrite the equation in exponential form:
log₇49 = 2

• 7² = 49
• 7⁴⁹ = 2
• 2⁴⁹ = 7
• 49² = 7

Rewrite the equation in logarithmic form:

3⁴ = 81

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Log with a base "e" is the same thing as...

• "e"

• Natural Logarithm (LN)

• Common Logarithm (Log)

Expand log₅(u³v⁵)

• 1/2(log₅u+log₅v+log₅uw)
• 5 log₅ u - 15 log₅ v 
• log₅u + log₅v +3 log₅w
• 3 log₅u + 5 log₅v

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

• (1, 2) (3, 8) (-3, 6)
• (1, 2) (8, 3) (-3, 6)
• (-1, -2) (-3, -8) (3, -6)
• (2, 1) (8, 3) (6, -3)

Find the inverse of

f(x) = -3x + 3

• f^-1(x) = -3x + 1

• f^-1(x) = (-1/3)x + 1

• f^-1(x) = (-1/3)x - 1

• f^-1(x) = (1/3)x + 1