Logarithm Equivalence

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

Solve for x.
5^x = 1

• 0
• -1
• 2
• 1

• A
• B
• C
• D

• H
• F
• G
• J

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Which of the following is NOT equivalent to log 36 ?

• log 2 + log18

• 2log 6

• log 30 + log 6

• log 4 + log 9

The value of log₅ 167 is closest to which of the following? Hint – Use calculator.

• 2.67

• 1.98

• 4.58

• 3.18

Write the expression as a single logarithm.   Then simplify if possible.
log₅3 + log₅6 + log₅9

• log₅69
• log₅56
• log₅162
• log₅98

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

The common logarithm has what base?

• 10
• 0
• e
• -e