Logarithmic Functions

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

Tags

CCSS.HSF.BF.B.5

Evaluate the log:
log₃(1/9) = 

• 1/2
• 2
• -2
• 3

Tags

CCSS.HSF.BF.B.5

Approximate its value to the nearest ten-thousandths using change of base formula. log₃7

• 2.7712

• 1.7712

• 2

• 1.7718

Tags

CCSS.HSF.BF.B.5

Use a calculator to evaluate log .5

• -.301

• -1.35

• -1.25

• -.5

Find the value for x to the third decimal place: ln x = 5

• 148.413
• 13.591
• 100000
• 1.610

Tags

CCSS.HSF.BF.B.5

Solve for x:
5 e^6x+3 = 0.1

• -1.152
• 0.232
• -3.077
• -0.854

Tags

CCSS.HSF.LE.A.4

An amount of $2,000 is deposited into a bank paying an annual interest rate of 2.85% compounded continuously. How long will it take for the money to double?

• 21.22 years
• 24.321 years
• 20.12 years
• Not here

Tags

CCSS.HSF.LE.A.4