Question

Log 64 na base √2......

Answer 1

Resposta:

6

Explicação passo-a-passo:

log2 64 = log2 2^6

= 6. log2 2

= 6 . 1

= 6

Answer 2

Resposta:

$\displaystyle log_{\sqrt{2}}64=12$

Explicação passo-a-passo:

$\displaystyle log_{\sqrt{2}}64=x\\\\(\sqrt{2})^x=64\\\\2^{(\frac{1}{2}).x}=2^6\\\\2^{(\frac{x}{2})}=2^6\\\\\frac{x}{2}=6\\\\x=12$

64 | 2

32 | 2

16 | 2

8 | 2

4 | 2

2 | 2

1 | 1

64 = 2 . 2 . 2 . 2 . 2 . 2 = 2⁶