Logarithms Test

Rewrite e^x = 9 using a natural logarithm.

• ln x = 9

• ln 9 = x

• log_x e = 9

• log₉ x = e

Solve for x and CHECK IT!

log₈(x) + log₈(x + 2) = 1

• x = -4 & x = 2

• x = -4

• x = 2

• x = -2 & x = 4

Evaluate.

log₆(¹/₂₁₆) = x

• x = 3

• x = ¹/₃

• x = -¹/₃

• x = -3

Expand.

Rewrite in logarithmic form:

6² = 36

• log₆ 2 = 36

• log₆ 36 = 2

• ln 36 = 2

• 6³⁶ = 2

Expand

• A

• B

• C

• D

Condense into a single logarithm.

• A

• B

• C

• D

Rewrite in exponential form:

log₃(9)=2.

• 3⁹=2

• 3²=9

• x²=9

• 3^x=2

Evaluate:

log₅25 = ?

• 2

• 5

• 125

Evaluate.
3 log₂4

• 3

• 6

• 2

• 4