Question

log 0,01 na base 0,1​

Answer 1

$log_{_{0,1}}\,0,01~=~x\\\\\\0,01~=~0,1^x\\\\\\\frac{1}{100}~=~\left(\frac{1}{10}\right)^x\\\\\\\frac{1^2}{10^2}~=~\left(\frac{1}{10}\right)^x\\\\\\\left(\frac{1}{10}\right)^2~=~\left(\frac{1}{10}\right)^x\\\\\\\boxed{x~=~2}$