[latex]5^{log5^{2}}+log_7 7[/latex]

Формулы: [latex]log_aa=1[/latex] и [latex]log_ab=frac{log_ca}{log_cb}[/latex], [latex]a^{log_ab}=b[/latex] [latex]5^{log5^{2}}+log_7 7=(5^frac{1}{log_510})^{2}+1=(5^{log_510})^{-2}+1=frac{1}{100}+1=frac{101}{100}=1.01[/latex]

[latex]5^{log_52}=2[/latex] [latex]log_77=1[/latex] [latex]5^{log5^{2}}+log_7 7[/latex]=2+1=3