Преобразование логарифмических выражений
- \(\log_2{16}\)
- \(\log_3{\displaystyle\frac{1}{81}}\)
- \(\log_{17}1\)
- \(\log_{1/3}9\)
- \(\log_{0,2}{0,04}\)
- \(\log_{\sqrt{5}}1\)
- \(\log_5\displaystyle\frac{1}{125}\)
- \(\log_{1/4}8\)
- \(\log_{0,3}\displaystyle\frac{1}{0,09}\)
- \(\log_4{32}\)
- \(\lg{1000}\)
- \(\lg{0,01}\)
- \(\lg 1\)
- \(\lg 10\)
- \(3^{\log_3{7}}\)
- \(0,5^{\log_{0,5}6}\)
- \(25^{\log_53}\)
- \(0,04^{\log_{0,2}3}\)
- \(4^{2\log_4{10}}\)
- \(9^{\log_{81}4}\)
- \((\sqrt{5})^{2\log_5{3}}\)
- \(7^{2\log_{49}2}\)
- \(10^{\lg 0,5}\)
- \(8^{4\log_{16}3}\)
- \(\log_42+\log_48\)
- \(\log_25+\log_2\displaystyle\frac{8}{5}\)
- \(\log_32-\log_3{54}\)
- \(\log_38+3\log_3{\displaystyle\frac{9}{2}}\)
- \(\log_2\sqrt{3}+\displaystyle\frac{1}{2}\log_2\frac{4}{3}\)
- \(\log_7{196}-2\log_72\)
- \(\log_5{175}-\log_57\)
- \(\log_25-\log_2{35}+\log_2{56}\)
- \(\log_58-\log_52+\log_5\displaystyle\frac{25}{4}\)
- \(10^{\lg2+\lg3}\)
- \(10^{1+\lg5}\)
- \(10^{\lg7+\lg\displaystyle\frac{2}{7}}\)
- \(16^{\log43-0,25\log23}\)
- \(\log_2\displaystyle\frac{1}{8}\)
- \(\log_{\displaystyle\frac{1}{17}}3\)
- \(\log_5\displaystyle\frac{1}{125}\)
- \(\log_{\frac{1}{2}}2\sqrt{2}\)
- \(\log_{49}7\)
- \(\log_9{243}\)
- \(\log_4{\displaystyle\frac{1}{128}}\)
- \(\log_{\sqrt{7}}\displaystyle\frac{1}{7}\)
- \(\log_5{\displaystyle\frac{1}{5\sqrt{5}}}\)
- \(\log_{\displaystyle\frac{1}{4}}\frac{1}{64}\)
- \(\log_3{8}-2\log_3{2}+\log_3\displaystyle\frac{9}{2}\)
- \(2\log_7{32}-\log_7{256}-2\log_7{14}\)
- \(\log_5{22}-\log_5{11}-\log_5{10}\)
- \(\log_2{7}-\log_2{63}+\log_2{36}\)
- \(\log_45+\log_4{25}+\log_4{\displaystyle\frac{2}{125}}\)
- \(\log_3{72}-\log_3{\displaystyle\frac{16}{27}}+\log_3{18}\)
- \(2\log_26+\log_2\displaystyle\frac{35}{9}-\log_2{35}\)
- \(\log_{5}\displaystyle\frac{1}{4}-2\log_5{\frac{2}{3}}+\log_5{\frac{4}{9}}\)
2) -4
4) -2
6) 0
8) -3/2
10) 5/2
12) -2
14) 1
16) 6
18) 9
20) 2
22) 2
24) 27
26) 3
28) 6
30) 2
32) 3
34) 6
36) 2
38) -3
40) -3
42) 1/2
44) -7/2
46) -3/2
48) 2
50) -1
52) 1/2
54) 2