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