Name: ________________________________________
Review Sheet #2
Please re-write the following expression either in log or exponential form:
𝑙𝑜𝑔3 81 = 4
𝑙𝑜𝑔4 16 = 2
log 1000 = 3
53 = 125
74 = 2401
22 = 4
Please use properties of logarithms to EXPAND the following expressions:
6 7
𝑙𝑜𝑔5 (𝑥 𝑦 )
Ln (
𝑤𝑦
√𝑧
)
1
4
𝑙𝑜𝑔7 (𝑧 𝑤)
log (
ln (𝑟 2 𝑡 4 𝑤 7 )
ln (
𝑣𝑥 4
𝑦2
𝑤𝑧 3
√𝑚
)
)
Please condense the following expressions:
𝑙𝑜𝑔7 𝑧 − 𝑙𝑜𝑔7 𝑤
4ln x + 3ln y
1/2log z – 2log w
Name: ________________________________________
Please solve the following expressions:
𝑙𝑜𝑔5 (𝑥 + 4 + 2) = 4
ln (-20 + z + 40) = 7
Use synthetic or long division to solve the following: (2𝑥 3 − 8𝑥 + 3) by (x – 4)
Answer: _________________
Name: ________________________________________
Use synthetic or long division to solve the following: (3𝑥 3 − 5𝑥 + 4) by (x – 3)
Answer: _____________
Please sketch the graph of
y = 𝑙𝑜𝑔3 (𝑥 + 1) − 2
Name: ________________________________________
Please sketch the graph of y = 𝑙𝑜𝑔4 (𝑥 − 2) + 2
You take out $50,000 in loans for your college career. The annual interest rate is 4.75% and it is
compounded semiannually. How long will it take for your loans to double (if you aren’t paying
them yet)?
Answer: _________