Solving Using Exponents and Logarithms

Solve for x:
2^{3x + 1} = 32

• 0
• -1
• 5/3
• 4/3

What does the b in log_bA=x represent?

• Argument
• Base
• Exponent
• Bottom

Tags

CCSS.HSF.BF.B.5

How do you properly read log₁₀100=2?

• log base 10 of 100 is equal to 2
• log base of 10 is equal to 2
• log 100 of 10 is equal to 2
• log of 100

Tags

CCSS.HSF.BF.B.5

If log_a8 = b, which of the following is true?

• a^b = 8
• b^a = 8
• a⁸ = b
• 8^b = a

Tags

CCSS.HSF.BF.B.5

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

Tags

CCSS.HSF.BF.B.5

Write in logarithmic form.
2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4
• log_-4(¹/₁₆) = 2
• log _-4 2 = ¹/₁₆
• log₂(-4) = ¹/₁₆

Tags

CCSS.HSF.BF.B.5

Evaluate: log₉3

• ½
• -½
• 2
• -2

Solve for x
5^x = 17

• x = log₁₇5
• x = log 5 + log 17
• x = log₅17
• x = (log 5)/(log 17)

Tags

CCSS.HSF.BF.B.5

Simplify log(12) + log (6)

• log(72)
• log(18)
• log(6)
• log(2)

Simplify: log(3) + 2log(5)

• log(75)
• 2log(15)
• log(30)
• log(13)