Question

Resolva as seguintes equações exponenciais: A) 4×=256 B) 5×+1=625 C)(0,01)×=1000 D)8×=16

Answer 1

$a)\\4^x=256\\\\4^x=4^4\\\\x=4$

$b)\\5^{x+1}=625\\\\5^{x+1}=5^4\\\\x+1=4\\\\x=3$

$c)\\0,01^x=1000\\\\(\frac{1}{100})^x=10^3\\\\(\frac{1}{10^2})^x=10^3\\\\(10^{-2})^x=10^3\\\\10^{-2x}=10^3\\\\-2x=3\\\\x=-\frac{3}{2}=-1,5$

$d)\\8^x=16\\\\(2^3)^x=2^4\\\\2^{3x}=2^4\\\\3x=4\\\\x=\frac{4}{3}$

Answer 2

Resposta

4x=256 que esta mult passa div

X=256÷4

X= 64 resultado

B) 5x+1=625

5x=625-1

5x=624

X=624÷5

X=124,8resultado

Explicação passo-a-passo: