Oblicz [latex] 2^{log _{2}7_} [/latex] [latex] 10^{2 + log3} [/latex] [latex]36^{log _{6}5_ - frac{1}{4} } [/latex]

[latex]2^{log_2 7}=7[/latex] [latex]10^{2+log3 }=10^2 * 10^{log3}=100*3=300[/latex] [latex]36^{log_6 5- frac{1}{4}}=36^{log_6 5} : 36^{frac{1}{4}}=(6^2)^{log_6 5}:(6^2)^{frac{1}{4}}=6^{2 log_6 5}:6^{frac{1}{2}}=[/latex] [latex]=6^{log_6 5^2} : sqrt{6}=6^{log_6 25}:sqrt{6}=frac{25}{sqrt{6}}=frac{25sqrt{6}}{6}[/latex]

=7 =300 =25V6/6 Prosze bardzo :D Licze na naj ^^