Log Basics

Using the change of base formula, what is this logarithm equivalent to?

• A

• B

• C

• D

Solve for x:
log_x 25 = 2

• 5

• -5

• 1/5

• -1/5

Without a calculator, evaluate log₄1

• ¹/₄

• 0

• -1

• 4

Without a calculator, determine which of the following yields a negative answer.

• log₉ (¹/₃₀)

• log₉ 3

• log₉ 81

• log₉ 1

• x = 2

• x = -2

• y = 2

• y = -2

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

• "e"

• Natural Logarithm (LN)

• Common Logarithm (Log)

• Natural Log, base "e"
  LN_e

The natural logarithm has what base?

• 10

• 0

• e

• -e

Rewrite log_x95 = 2.3 in exponential form.

• x^2.3 = 95

• 95^2.3 = x

• 2.3⁹⁵ = x

• x⁹⁵ = 2.3

Rewrite in exponential form:

log₉x=2

• 9^x=2

• 2^x=9

• 2⁹=x

• 9²=x

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3