Logarithm with Same Base

Rewrite log_b(xⁿ)

• nlog_bx

• (log_bx)ⁿ

• xⁿlog_bx

• log_b(xⁿ)

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

Which of the following would you use to evaluate:

• log(17/6)

• log*6/17)

• log17/log6

• log6/log17

Using the change of base rule, what is this logarithm equivalent to?

• A

• B

• C

• D

Solve for x:

log₅(4x-7)=log₅(x+5)

• 3

• 12

• 4

• 7

Solve for x:

log₄(3x-1)=log₄(2x+3)

• 4

• 3

• 1

• 8

log₄ x = 3

• 4

• 12

• 32

• 64

Solve for x:

log₅ (x + 3) = log₅ x + log₅ 3

• 3/2

• 9/2

• 2/3

• No Solution

Solve for x:

log₂(2) + log₂(8x) = 6

• x = 3

• x = 2

• x = 6

• x = 4