a:10:{i:0;a:13:{s:2:"id";s:4:"1841";s:4:"name";s:187:"<p>Dla funkcji  <img class="latex" src="https://chart.googleapis.com/chart?cht=tx&amp;chf=a,s,000000|bg,s,FFFFFF00&amp;chl=f(x)%3D5%5Ex" alt="f(x)=5^x" />   prawdziwe jest zdanie:</p>";s:9:"hide_time";s:1:"0";s:11:"one_is_good";N;s:13:"feedback_good";s:0:"";s:14:"feedback_wrong";s:0:"";s:4:"help";s:0:"";s:4:"icon";s:0:"";s:5:"movie";s:0:"";s:14:"movie_duration";N;s:4:"type";s:1:"1";s:6:"active";s:1:"1";s:4:"test";s:3:"497";}i:1;a:13:{s:2:"id";s:4:"1842";s:4:"name";s:203:"<p>Dla funkcji  <img class="latex" src="https://chart.googleapis.com/chart?cht=tx&amp;chf=a,s,000000|bg,s,FFFFFF00&amp;chl=f(x)%3D%5Clog_5%7Bx%7D" alt="f(x)=\log_5{x}" />   prawdziwe jest zdanie:</p>";s:9:"hide_time";s:1:"0";s:11:"one_is_good";N;s:13:"feedback_good";s:0:"";s:14:"feedback_wrong";s:0:"";s:4:"help";s:0:"";s:4:"icon";s:0:"";s:5:"movie";s:0:"";s:14:"movie_duration";N;s:4:"type";s:1:"1";s:6:"active";s:1:"1";s:4:"test";s:3:"497";}i:2;a:13:{s:2:"id";s:4:"1843";s:4:"name";s:279:"<p>Wartość wyrażenia <img class="latex" src="https://chart.googleapis.com/chart?cht=tx&amp;chf=a,s,000000|bg,s,FFFFFF00&amp;chl=%5Clog_5%7B8%7D-%5Clog_5%7B2%7D%2B%5Clog_5%7B%5C(%5Cfrac%7B25%7D%7B4%7D%5C)%7D" alt="\log_5{8}-\log_5{2}+\log_5{\(\frac{25}{4}\)}" />  wynosi:</p>";s:9:"hide_time";s:1:"0";s:11:"one_is_good";N;s:13:"feedback_good";s:0:"";s:14:"feedback_wrong";s:0:"";s:4:"help";s:0:"";s:4:"icon";s:0:"";s:5:"movie";s:0:"";s:14:"movie_duration";N;s:4:"type";s:1:"1";s:6:"active";s:1:"1";s:4:"test";s:3:"497";}i:3;a:13:{s:2:"id";s:4:"1844";s:4:"name";s:293:"<p>Wartość wyrażenia <img class="latex" src="https://chart.googleapis.com/chart?cht=tx&amp;chf=a,s,000000|bg,s,FFFFFF00&amp;chl=%5C(3%5Csqrt%7B3%7D%5C)%5E%7B-%5Cfrac%7B2%7D%7B3%7D%7D%2B81%5E%7B-%5Cfrac%7B1%7D%7B4%7D%7D" alt="\(3\sqrt{3}\)^{-\frac{2}{3}}+81^{-\frac{1}{4}}" />  wynosi:</p>";s:9:"hide_time";s:1:"0";s:11:"one_is_good";N;s:13:"feedback_good";s:0:"";s:14:"feedback_wrong";s:0:"";s:4:"help";s:0:"";s:4:"icon";s:0:"";s:5:"movie";s:0:"";s:14:"movie_duration";N;s:4:"type";s:1:"1";s:6:"active";s:1:"1";s:4:"test";s:3:"497";}i:4;a:13:{s:2:"id";s:4:"1845";s:4:"name";s:214:"<p>Funkcją odwrotną do funkcji <img class="latex" src="https://chart.googleapis.com/chart?cht=tx&amp;chf=a,s,000000|bg,s,FFFFFF00&amp;chl=f(x)%3D%5Clog_2%7B(x-1)%7D" alt="f(x)=\log_2{(x-1)}" /> jest funkcja:</p>";s:9:"hide_time";s:1:"0";s:11:"one_is_good";N;s:13:"feedback_good";s:0:"";s:14:"feedback_wrong";s:0:"";s:4:"help";s:0:"";s:4:"icon";s:0:"";s:5:"movie";s:0:"";s:14:"movie_duration";N;s:4:"type";s:1:"1";s:6:"active";s:1:"1";s:4:"test";s:3:"497";}i:5;a:13:{s:2:"id";s:4:"1846";s:4:"name";s:222:"<p>Dziedziną funkcji <img class="latex" src="https://chart.googleapis.com/chart?cht=tx&amp;chf=a,s,000000|bg,s,FFFFFF00&amp;chl=f(x)%3D%5Clog_%7B4-x%7D%7B(x%5E2-2x)%7D" alt="f(x)=\log_{4-x}{(x^2-2x)}" /> jest zbiór:</p>";s:9:"hide_time";s:1:"0";s:11:"one_is_good";N;s:13:"feedback_good";s:0:"";s:14:"feedback_wrong";s:0:"";s:4:"help";s:0:"";s:4:"icon";s:0:"";s:5:"movie";s:0:"";s:14:"movie_duration";N;s:4:"type";s:1:"1";s:6:"active";s:1:"1";s:4:"test";s:3:"497";}i:6;a:13:{s:2:"id";s:4:"1847";s:4:"name";s:50:"<p>Która z poniższych funkcji jest parzysta:</p>";s:9:"hide_time";s:1:"0";s:11:"one_is_good";N;s:13:"feedback_good";s:0:"";s:14:"feedback_wrong";s:0:"";s:4:"help";s:0:"";s:4:"icon";s:0:"";s:5:"movie";s:0:"";s:14:"movie_duration";N;s:4:"type";s:1:"1";s:6:"active";s:1:"1";s:4:"test";s:3:"497";}i:7;a:13:{s:2:"id";s:4:"1848";s:4:"name";s:216:"<p>Zbiorem wartości funkcji <img class="latex" src="https://chart.googleapis.com/chart?cht=tx&amp;chf=a,s,000000|bg,s,FFFFFF00&amp;chl=f(x)%3D%5Clog_2%7B(x%5E2-2x%2B3)%7D" alt="f(x)=\log_2{(x^2-2x+3)}" /> jest:</p>";s:9:"hide_time";s:1:"0";s:11:"one_is_good";N;s:13:"feedback_good";s:0:"";s:14:"feedback_wrong";s:0:"";s:4:"help";s:0:"";s:4:"icon";s:0:"";s:5:"movie";s:0:"";s:14:"movie_duration";N;s:4:"type";s:1:"1";s:6:"active";s:1:"1";s:4:"test";s:3:"497";}i:8;a:13:{s:2:"id";s:4:"1849";s:4:"name";s:355:"<p>Jeśli <img class="latex" src="https://chart.googleapis.com/chart?cht=tx&amp;chf=a,s,000000|bg,s,FFFFFF00&amp;chl=%5Clog%7B2%7D%3Da%2C%5C%20%5Clog%7B3%7D%3Db" alt="\log{2}=a,\ \log{3}=b" />, to <img class="latex" src="https://chart.googleapis.com/chart?cht=tx&amp;chf=a,s,000000|bg,s,FFFFFF00&amp;chl=%5Clog%7B45%7D" alt="\log{45}" /> jest równy:</p>";s:9:"hide_time";s:1:"0";s:11:"one_is_good";N;s:13:"feedback_good";s:0:"";s:14:"feedback_wrong";s:0:"";s:4:"help";s:0:"";s:4:"icon";s:0:"";s:5:"movie";s:0:"";s:14:"movie_duration";N;s:4:"type";s:1:"1";s:6:"active";s:1:"1";s:4:"test";s:3:"497";}i:9;a:13:{s:2:"id";s:4:"1850";s:4:"name";s:212:"<p>Zbiorem wartości funkcji <img class="latex" src="https://chart.googleapis.com/chart?cht=tx&amp;chf=a,s,000000|bg,s,FFFFFF00&amp;chl=f(x)%3D0%2C2%5E%7B-x%5E2%2B4x-6%7D" alt="f(x)=0,2^{-x^2+4x-6}" /> jest:</p>";s:9:"hide_time";s:1:"0";s:11:"one_is_good";N;s:13:"feedback_good";s:0:"";s:14:"feedback_wrong";s:0:"";s:4:"help";s:0:"";s:4:"icon";s:0:"";s:5:"movie";s:0:"";s:14:"movie_duration";N;s:4:"type";s:1:"1";s:6:"active";s:1:"1";s:4:"test";s:3:"497";}}