Step 2 : Rangkuman Eksponen D

an Logaritma

1.

PAN

GKAT BU

LAT PO

SITIF

ap x a

q =

ap+q

a

p : aq

= a

p-q

(ap) q

= a

pxq

(a x b) n =

an x b

n

n

b a

= n n

b a

0

n =

0, n > 0 2.

PAN

GKAT BU

LAT N

EGATIF & N

OL

a

0 =

1

a

-n =

na 1

a

n =

n-a 1

3. BEN

TUK A

KAR : akar dari bil.rasional yang hasilnya m

erupakan bil.irrasional Contoh :

6

b) x

(a

=

a x

b

c

bc

a+

=

cb)

(a+

cb

ca

−

= c

b)(a−

ab

2b)

(a+

+ =

a +

b

ab

2b)

(a−

+ =

a -

b

4. M

ERASIO

NA

LKAN

PENYEBU

T AKA

R DALA

M PECA

HA

N

b a

=

b bx

b a =

b ba

b

ac+

= b

ab

a x

ba

c− −

+ =

b-a

)b-

c(a2

b

ac−

= b

ab

a x

ba

c+ +

− =

b-a

)bc(a

2 +

Bimbingan Belajar SM

ES © w

ww

.bimbelSM

ES.com

b

ac+

=

ba

ba

x

ba

c− −

+ =

b-a

)bc(a

−

b

ac−

=

ba

ba

x

ba

c+ +

− =

b-a

)bc(a

+

5. PA

NGKA

T PECAH

AN

n m

a

x

n = a , maka x = n

a

n

n 1

aa

=

n

mn m

aa

=

n m

n m

a 1a

=−

atau n m

n m

a 1a

−=

p

f(x)a

a=

, maka f(x) = p

6. LO

GARITM

A

Sifat-sifat logaritma

1) glog (ax b) = glog a + glog b

2) glog (b a

) = glog a – glog b

3) glog a

n = n x glog a

4) glog a =

glog

alog

p p

5) glog a =

glog 1

a

6) glog a x a log b = glog b

7) a

log.n m

alog

gm

gn

=

8) a

ga

logg

=

C

itra 2 Extension & Taman Surya V, Telp 54366413, 54391011, 98870075