Logs and Exponents

Consider the graph of y = 5^x + 3. What is the horizontal asymptote of the graph?

• y = 0

• x = 0

• y = 3

• y = 5

Consider the graph of y = 5^x + 3. What is the equation of the asymptote for its inverse?

• x = 3

• x = 0

• y = 3

• x = 1

Write 6^x = 8 in log form.

• log₆ 8 = x

• log₈ 6 = x

• log₆ x = 8

• log₈ x = 6

Tags

CCSS.HSF.BF.B.5

Write 3 = 7^x in log form.

• log₇ 3 = x

• log₃ 7 = x

• log₇ x = 3

• log₃ x = 7

Tags

CCSS.HSF.BF.B.5

Write log5 = x in exponential form

• 10^x = 5

• 5^x = 1

• 1^x = 5

• 10⁵ = x

Tags

CCSS.HSF.BF.B.5

Write –2 = log₄x in exponential form.

• 4^x = –2

• 4^–2 = x

• x^–2 = 4

• –2^x = 4

How would you solve the equation 6^x = 8?

• Divide both sides by 6.

• Divide both sides by 8.

• Multiply both sides by log₆.

• Take log₆ of both sides.

Which is correct if you were solving 10 = 5^x ?

• x = log₁₀5

• x = log₅10

• x = 5 log10

• x = 10log5

Solve 1.5^x = 8.

• x = 5.333

• x = 5.129

• x = 0.195

• x = 0.188

Solve 2^3–x = 7

• x = 0.193

• x = –0.193

• x = 0.5

• x = 2.644