Question

3.) Determine x nas igualdades:
a) log264 = = x
b) logx 126 = 3
c) 2 = logx 625
d) log x = 0​

Answer 1

Resposta:

a)

$log_{2}(64) = x \\ \\ {2}^{x} = 64 \\ \\ {2}^{x} = {2}^{6} \\ \\ \pink{ x = 6}$

b)

$log_{x}(126) = 3 \\ \\ {x}^{3} = 126 \\ \\ x = \sqrt[3]{126} \\ \\ \pink{ x \cong{5,0133}}$

c)

$2 = log_{x}(625) \\ \\ log_{\pink{x}}(625) = 2 \\ \\ \pink{x > 0 \:e\: x \not= 1}\\ \\{x}^{2} = 625 \\ \\ x = \pm{ \sqrt{625} } \\ \\ \pink{\displaystyle\:x = + \: 25}$

d)

$log(x) = 0 \\ \\ {10}^{0} = x \\ \\ \pink{\displaystyle\:x = 1}$

Bons Estudos!