Question

 Dada a função F(x) = (2)x , F(3) é:
a) 8
b) 10 
c) 12
d) 16
 
02. A equação (2)x = 64 em R vale:
a) {4} 
b) {5}
c) {6} 
d){7} 
 
03. A equação (1/2)x = 1/16 em R vale:
a) {-4}
b) {4}
c) {-2}
d){2}
 
04. Se 5 x = 125 , então x é igual a:
A) 2 
B) 3 
C) 4 
D) 5 
 
 5.  Se F(x) = 3x, F(0) é:
 

1)

2)

3)

a)4

 

​

Answer 1

Olá,

01)

$\sf \: f(x) = {2}^{x}$

$\sf \: f(3) = {2}^{3} = 2. \: 2. \: 2 = \boxed{8}$

$\boxed{ \sf \: a)}</strong><strong>$

02)

$\sf \: {2}^{x} = 64 \\ \sf \: {2}^{x} = {2}^{6} \\ \sf \: { \cancel{2}}^{x} = { \cancel{2}}^{6} \\ \sf \boxed{ \sf \: x = 6}$

$\sf \: \boxed{ \sf \: c)}</strong><strong>$

03)

$\sf \: ( \frac{1}{2} {)}^{x} = \frac{1}{6} \\ \sf \: ( \frac{1}{2} {)}^{x} = \frac{1}{ {2}^{4} } \\ \sf \: ( \frac{1}{2} {)}^{x} = ( \frac{1}{2} {)}^{4} \\ \sf \: { \cancel{ (\frac{1}{2} })}^{x} = { \cancel{( \frac{1}{2}})}^{4} \\ \sf \boxed{ \sf \: x = 4}$

$\sf \: \boxed{ \sf \: b</strong><strong>)</strong><strong>}</strong><strong>$

04)

$\sf \: {5}^{x } = 125 \\ \sf \: {5}^{x } = {5}^{3} \\ \sf \: { \cancel{5}}^{x} = { \cancel{5}}^{3} \\ \sf \boxed{ \sf \: x = 3}$

$\sf \: \boxed{ \sf \: b)}</strong><strong>$

05)

$\sf \: f(x) = {3}^{x}$

$\sf \: f(0) = {3}^{0} \\ \sf \: f(0) = 1$

$\sf \: \boxed{ \sf \: a)}</strong><strong>$