Eksponen Dan Logaritma

Mr. Ged

Eksponen dan Logaritma

ac = b

a

⇔

log b = c

Syarat :

Rumus-rumus Eksponen 1.

a 0 = 1 (a ≠ 0)

2.

a m . a n = a m+n

3.

a . b m = ( a . b) m

4. 5.

( a m ) n = a m.n

6.

a−m =

m

> 0 dan

2.

b

>0

a

≠1

Rumus-rumus Logaritma a

log a = 1

a

log1 = 0

a

log b + a log c = a log b . c

a

log b − a log c = a log

a

log b . b log c = a log c

1. 2. 3.

m

4. 5.

1 am

6.

n

am = am / n

7.

m

a .m b = m a.b

8.

7.

9.

a

m

am m− n a : a = n =a a

8.

1.

m n

a

a = a1/ m.n

(a)

=b

a

log bn = n . a log b

a

log b =

a

9.

a

10.

log b

an

log b n

n

log b log a

log b =

n

log b =

b

1 log a

“bila ada kemauan pasti ada seribu jalan, tetapi bila tidak ada kemauan pasti ada seribu alasan”

b c