Solve Logarithms

Convert Log₂(64) = y to an exponent

• 64^y = 2

• 2⁶⁴ = y

• 64² = y

• 2^y = 64

log ₇ 10 + log ₇ (2x + 5) = 2

• x = 17

• x = -1/20

• x = -9/5

• x = -13/2

Solve

• A

• B

• C

• D

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Change to Logarithmic Form:
5³ = 125

• log ₅ 125 = 3

• log ₃ 125 = 5

• log ₅ 3 =125

• log₁₂₅ 3 = 5

The inverse of a logarithmic function and the logarithmic function do what on a graph?

• The are perpendicular

• They are paralell

• They reflect over the line y=x.

• There is nothing special .

ln(9x-2)=ln(x+14)

• x=2

• x=.156

• x=-3

• x=0

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

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Solve for x
5^x = 17

• x = log₁₇5

• x = log 5 + log 17

• x = log₅17

• x = (log 5)/(log 17)