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Title: Exponentials and Logs
Description: Compilation of exponentials and logs notes. Easy to read and explained in clear and concise detail. A-level year 1&2 as well as university year one preparation material.

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EXPONENTIALS AND LOGS

exponentials analogs

"

y=e
exponential
have

functions

graphs
similar

shape

functions

property

gradient

their

of

to

themselves


...


=e

""

dy_

logs

of

"

logarithms

my

"

logan

dx

graph

the

%-d

then

of


...


""

e

graph

the

of

e

functions

a

laws
"

exponential

of

logarithms

are

the

of

inverse

the

a

x

)

special

cases

log (E)

y=x

K

=

=

toga

Log

)

a

( div

law)

law )

( power

x

law )

:

"

logalx

=

I multi

logascy

=

)

=

-

logax

'

'

toga

a

toga

1

=L


...


"

>

logarithms
x

ehh

lnle )
"

=

=

×

"

the
then
graph of logy
y=aI
will
a
be
x
straight
against
log
with
vertical
and
n
intercept
gradient

if

log

a

non

This

graph

between

Y

logy

M

=

useful

to

two

=

straight

a

be

can

n

data

look

variables


+

as

line


...


C

toga

+

log

variable

log

a

'

toga

gradient variable

the

plotting

when

at

model

to

relationship

non-linear

of

linear

logarithms

use

equation

-

a

a
Title: Exponentials and Logs
Description: Compilation of exponentials and logs notes. Easy to read and explained in clear and concise detail. A-level year 1&2 as well as university year one preparation material.