Homework:
4.3 on Math XL
4.3: Properties of Logarithms
Relevant video
1.
Expand each expression using the product rule.
a) log 5 (3𝑥)
b) ln⁡(𝑥 2 − 1)
2.
Expand each expression using the quotient rule.
a)
32
log 2 ( )
4
𝑧4
b) log ( )
4
3.
Expand each expression using the power rule.
a) log 6 53
b) log 2 √14
Let’s put it all together.
4.
Expand each expression completely.
a) log 3 (𝑥 3 𝑦 2 )
b) ln √𝑒𝑥
c)
log 𝑏 (
3
√𝑥 𝑦 4
)
𝑧5
100𝑥 3 √5−𝑥
d) log (
3(𝑥+7)2
)
5.
Condense each expression (write as a single logarithm).
a)
1
2
ln 4 − ln 5
b) −4 log 3 𝑥 − 7 log 3 𝑦 + 3 log 3 𝑧 + 3
6.
Use your calculator to approximate each logarithm to 4 decimal
places
a) log 4 19
b) log 8 10
c)
log 0.3 2
d) log 𝜋 348
e)
log √2 √17
7.
Plot a graph of the function on your calculator
ℎ(𝑥 ) = log 3 (2𝑥 + 3)