Question

Срочно! 30 баллов!
Ответы не по теме бан!

Answer 1

Ответ:

$1) \frac{ log_{10}(8 \times 18) }{ log_{10}( {2}^{2} \times 3 ) } = \frac{ log_{10}(144) }{ log_{10}(12) }$

Собираем по формуле:

$\frac{ log_{c}(a) }{ log_{c}(b) } = log_{b}(a)$

$log_{12}(144) = 2$

$2) = log_{4}(16) = 2$

$3) log_{2}( \frac{11}{44} ) = log_{2}( \frac{1}{4} ) = - 2$

$4) log_{0.3}( \frac{9}{ {10}^{2} } ) = log_{0.3}(0.09) = 2$

Answer 2

Объяснение:

$a)\ \frac{lg8+lg18}{2*lg2+lg3}=\frac{lg(8*18)}{lg2^2+lg3}=\frac{lg144}{lg4+lg3} =\frac{lg12^2}{lg(4*3)}=\frac{2*lg12}{lg12}=2.\\b)\ \frac{log_316}{log_34} =\frac{log_34^2}{log_34} ==\frac{log_34^2}{log_34}=\frac{2*log_34}{log_34} =2.\\c)\ log_211-log_244=log_211-log_2(11*4)=log_211-(log_211+log_24)=\\=log_211-log_211-log_24=-log_22^2=-2*log_22=-2.\\d)\ log_{0,3}9-2*log_{0,3}10=log_{0,3}9-log_{0,3}10^2=log_{0,3}9-log_{0,3}100=log_{0,3}\frac{9}{100}=\\=log_{0,3}0.09= log_{0,3}0,3^2=2*log_{0,3}0,3=2.$