Question

1- Considere a função F ( x ) = log x
4
Determine :
a ) F ( 16)
B ) F ( 64 )
C ) F ( 8 )
D ) x tal que F ( x ) = 256

2- considere a função G ( x ) = log ( x +1)
3
Determine :
a) G ( 2 )
B ) G ( 26 )
C ) x tal que G ( x ) = 243

Answer 1

Resposta:

1)

a ) F ( 16)    = log₄ 16  = log₄ 4² =2 *   log₄ 4 = 2* 1=2

B ) F ( 64 ) = log₄ 64  = log₄ 4⁴ = 4 *  log₄ 4   = 4*1=4

C ) F ( 8 ) = log₄ 8 = log 8 /log 4  = 3*log 2/(2 * log 2) =3/2

D ) x tal que F ( x ) = 256 = log₄ x

x= 4²⁵⁶

2)

a) G ( 2 )= log₃ (2+1)  =  log₃ 3=1

B ) G ( 26 )  =log₃ (26+1) =log₃ 3³ = 3 * log₃ 3 =3*1=3

C ) x tal que G ( x ) = 243=log₃ (x+1)  

x+1=3²⁴³

x= 3²⁴³ - 1