Review Properties of Logarithmic

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

log₆(2x + 3) = 3

• x = 106.5

• x = 100

• x = 16

• x = 50

Convert Log₂(64) = y to an exponent

• 64^y = 2

• 2⁶⁴ = y

• 64² = y

• 2^y = 64

Convert Log_a(100) = 2 to an exponent

• 100² = a

• 2^a = 100

• a² = 100

• a¹⁰⁰ = 2

Write log_b(xy) as two logs

• log_bx+log_by

• log_bx-log_by

• log_bx*log_by

• log_bx/log_by

Write the expression as a single logarithm.   Then simplify if possible.
log 6 - log 3 + 2 log 7

• log 98

• log 78

• log 56

• log 45

Write log_b(x/y) as two logs

• log_bx-log_by

• log_bx+log_by

• log_bx*log_by

• log_bx/log_by

Evaluate log_b(b)

• -1

• 0

• 1

• b

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

Simplify e^ln(x)

• 0

• 1

• x

• 8