Algebra Ohio State Math Test

Write as one logarithm. Simplify, if possible.
log₃9 + log₃27

• -1
• 5
• 4
• 1

Write as one logarithm. Simplify, if possible.
log₂800 - log₂100

• 8
• 3
• -3
• 1

Write as one logarithm. Simplify, if possible.
log₅125 - log₅25

• 1
• 0
• 5
• -1

Write in logarithmic form.
5² = 25

• log₅2 = 25
• log₂25 = 5
• log₂₅5 = 2
• log₅25 = 2

Rewrite log_vn = a in exponential form.

• v^a = n
• n^a = v
• vⁿ = a
• aⁿ = v

a logarithm with base 10

• algebraic functions

• common logarithm

• logistic growth function

• logarithmic functions

a function of the form f(x)=ab^x

• exponential functions

• inverse function

• algebraic functions

• transcendental functions

a logarithm with base ℮ written in x

• logarithmic function

• natural logarithm

• common logarithm

• grouth function

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

Solve:
3^x-1 = 81

• 5
• 6
• 9
• 10