Change of Base Logs

• Product property

• Quotient property
  

• Power property

• Change of Base Property

Use the change of base property to rewrite as a single logarithm: \frac{\log15}{\log3}

Write log_b(x/y) as two logs

• log_bx-log_by

• log_bx+log_by

• log_bx*log_by

• log_bx/log_by

Use the change of base rule to rewrite this problem:

log₃64

• log(64)/log(3)

• log(3)/log(64)

Use the change of base rule to rewrite this problem:

log₆216

• log(6)/log(216)

• log(216)/log(6)

What would the change base look like for:
  log₆ 48

• log 8

• ^{log 6}/_{log 48}

• ^{log 48}/_{log 6}

• ln 8

Approximate its value to the nearest ten-thousandths using change of base formula. log₃7

• 2.7712

• 1.7712

• 2

• 1.7718

Mathematical Equivalence

OFF

Evaluate log_b(b)

• -1

• 0

• 1

• b