Page 175 - aljaber

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.y < x .x > x x > 0

aa ba
a >0 0<y<x
.1 < 0
x >0 y <0 .x > y ()
y
ba

:( )

.1 > 1 .1 > 0

xy x

:( ) ( )

( )a6 = 33 2 3 = 27 × 2 = 54

2( )b6 = 2

3 = 4 × 3 = 12

( )c6 = 23 3 3 = 8 × 3 = 24

.b < c < a .b6 < c6 < a6

:( ) ()

( )2 30 = 215 = 32768 ()

( )3 3 30 = 310 = 59049
( )5 5 30 = 56 = 15625

. 5 5 < 2 < 3 3 15625 < 32768 < 59049

:( )

x > x −1 ⇒ x > x −1 ⇒ 5 < 5
5 5 x x −1