Question

Log de 125 na base 1/3 ?

Answer 1

$log_{\frac {1}{3}}125=x\\\\\frac {1}{3}^x=125\\\\3^{-x}=5^3\\\\log3^{-x}=log5^3\\\\-x.log3=3.log5\\\\log3=0,47..\\log5=0,70..\\\\-0,47x=3.0,70\\\\x=\frac {2,1}{0,47}\\\\x=4,46..$

x é aproximadamente 4,46 !


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