Log 3 Using the log rules, write the following in terms of p, q, and r.
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Transcript of Log 3 Using the log rules, write the following in terms of p, q, and r.
Log 3Using the log rules, write the following in terms of p, q, and r.
yxyx logloglog
yxyx logloglog
xnxn loglog
3logp 5logq 10logr
2log5
10log 5log10log
Division Rule
qr
3logp 5logq 10logr
45log 353log 3log5log3log multiplication Rule
pqp qp 2
a) b) c)
d) e)
f)
qr qp 2 rp2
1
q rqp 2
rqp 2
Log 3
• Know how to solve equations with logs• Understand what a hidden quadratic is• Be able to spot a hidden quadratic
Using rules to solve equations
Remember, when solving equations with logs, or exponentials, you want to end up with:
ORyx log yx loglog
Have a go at the exam questions
LOGS - Hidden Quadratics
)12log(log2 nn
)12log(log 2 nn
122 nn 0122 nn
21n1n
A hidden quadratic is one that is made from rearranging or working.
Have a go at the exam question
Exponentials - Hidden Quadratics
In your exams, you might come across something like this.
This is also a hidden quadratic.
02332 xx
Exponentials - Hidden Quadratics
These will be your hardest questions on the paper.
They require using the indices rules, along with many others (like logs)
The hardest part is just setting it up.
Exponentials - Hidden Quadratics
02332 xx
xy 3 22 33 xx 223 yx 022 yy
21 yy
Exponentials - Hidden Quadratics
02332 xx 022 yy 21 yy
1y 2y
13 x 23 x
3log
1logx
3log
)2log(x
Exponentials - Hidden Quadratics
• Best way to identify these is if there is two powers, and one is double the other
02332 xx
0288 48 xx
0211 2 xx
Exponentials - Hidden Quadratics
• Best way to identify these is if there is two powers, and one is double the other
• YOU MUSTN’T FORGOT TO PROVE THE SQUARE PART!!!
02332 xx xy 3
222 33 yxx
Practice Time
Exam question time!
Homework
Radians, Trig Graphs, and Transformations HWK up on moodle (probably)
TEST next week!!!
Do Section 2
Do Section 2