Page 13 - KIV - ALGEBRA 4

Álgebra 4° Secundaria

4. Determine
(2 log 3 )(2 log 2 − 2 + 3 )
+
+
) (log 9 log 4
3
2

A) 1 B) 2 C) 3
D) 4 E) 5

Resolución

log 3 x
=
2
1
=
log 9 2x log 2 =
3
2
x
2
log 4 =
3 x


1 
)
+
−

(2 x 2+   2x + 2 
 x   x 
2 2
4 + + 2x 1 2x −
+ −
x x
= 5

Rpta.: E

5. Si x=log27
Determine log147

A) x+1
x
B)
7
1
C)
x 1
+
1
D)
7x
x
E)
+
x 1

Resolución
Cambio de base
log 7
2
log 14
2
x x
= =
log 7 log 7 log 2
+
( )( ) 2
2
2
2
x
=
+
x 1
Rpta.: E

Compendio -50-