Question

ALGUEM ME AJUDA AQUI, qual o calculo de log 1024 na base 328???

Answer 1

Log 1024 na base 328 = 1,19

Answer 2

$log_{128} \ 1024= \frac{log_2\ 1024}{log_2\ 128}=\frac{log_2\ 2^{10}}{log_2\ 2^7}=\frac{10\cdot log_2\ 2}{7\cdot log_2\ 2}= \frac{10\cdot 1}{7\cdot 1}= \frac{10}{7}\\S=\big\{\frac{10}{7} \big\}$

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$log_{128} \ 1024=x\\ \\1024=128^x\\ \\2^{10}=(2^7)^x\\ \\2^{10}=2^{7x}\\ \\10=7x\\ \\7x=10\\ \\x= \frac{10}{7} \\ \\S=\big\{\frac{10}{7} \big\}$