Logarithms and Natural Log Equations

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Re-Write the Logarithm Equation into Exponential Form
log_hw = d

• w = h^d

• w^d = h

• h = w^d

• h^w = d

Solve for x:  log₆x + log₆(x-5) = 2

• √7

• 9

• 4

• none of these

Write the exponential equation as a logarithm
6³=216

• log₆(3) = 216

• log₃(6) = 216

• log₆(216)=3

• log₂₁₆(6)=3

Expand

• A

• B

• C

• D

Use Properties of Logarithms to fully expand.

Expand

• log₇x + log₇y + 4log₇z

• 4log₇x + 4log₇y + 4log₇z

• log₇x - log₇y - 4log₇z

• 4log₇x - 4log₇y - 4log₇z

Expand

• A

• B

• C

• D

Use Properties of Logarithms to fully expand.

Use Properties of Logarithms to fully expand.