Precalculus Logarithmic and Exponential Function Review

Evaluate b^log_b(x)

• x
• b
• 1
• 0

Evaluate log_b(1)

• 0
• 1
• -1
• b

Evaluate log_b(b)

• -1
• 0
• 1
• b

Evaluate log_b(b^x)

• 1
• 0
• x
• b

Expand log₆(5x³/y).

• log₆5x³-log₆y
• log₆5+log₆x³-log₆y
• log₆5+3log₆x-log₆y

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

How much of a radioactive kind of gallium will be left after 6 days if the rate of decay is 1/2 every 3 days and you start with 56 grams?

• 14 grams
• .875 grams
• 126 grams
• 638 grams

What type of function is
 y = 7(5/4)^x?

• Exponential Growth
• Exponential Decay
• Linear
• None of the above

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

Simplify:
(3t²)³

• 9t⁶
• 9t⁵
• 27t⁶
• 27t⁵