Question

Considerando o log 2 x, calcule, em função de

x, O

a) log 4096.

b) log 3✓512.

c) log 7✓128

d) log 25,6.

Answer 1

a)

4096 = 2¹²

$log4096\\\\log2^{12}\\\\12.log2\\\\12x$

b)

$\sqrt[3]{512}=8=2^3\\\\log2^3\\\\3.log2\\\\3x$

c)

$\sqrt[7]{128}=2\\\\log2\\\\x$

d)

$25,6=\frac{256}{10} =\frac{2^8}{10}\\\\log\frac{2^8}{10}\\\\log2^8-log10\\\\8log2-log10\\\\8x-1$