3 4 7 9

All 100 targets have a solution.

\(1 = 37 - 4 \cdot 9 \)
\(2 = 3^{4} - 79 \)
\(3 = \frac{ 34 - 7 }{ 9 }\)
\(4 = \frac{ 43 - 7 }{ 9 }\)
\(5 = \frac{ 39 - 4 }{ 7 }\)
\(6 = \sqrt{79 - 43 }\)
\(7 = \frac{ 37 - 9 }{ 4 }\)
\(8 = 47 - 39 \)
\(9 = \frac{ 34 - 7 }{ \sqrt{9 } }\)
\(10 = \frac{ 49 }{ 7 } + 3 \)
\(11 = 39 - 4 \cdot 7 \)
\(12 = 49 - 37 \)
\(13 = \frac{ 39 }{ 7 - 4 }\)
\(14 = \frac{ 49 - 7 }{ 3 }\)
\(15 = 79 - 4^{3 }\)
\(16 = \frac{ 73 - 9 }{ 4 }\)
\(17 = \frac{ 34 }{ 9 - 7 }\)
\(18 = 34 - 7 - 9 \)
\(19 = 93 - 74 \)
\(20 = 7 \cdot 9 - 43 \)
\(21 = 94 - 73 \)
\(22 = 37 - 4! + 9 \)
\(23 = \frac{ 37 + 9 }{ \sqrt{4 } }\)
\(24 = 73 - 49 \)
\(25 = \frac{ 79 - 4 }{ 3 }\)
\(26 = 37 - \sqrt{4} - 9 \)
\(27 = 43 - 7 - 9 \)
\(28 = 39 - 4 - 7 \)
\(29 = 7 \cdot 9 - 34 \)
\(30 = 37 - \sqrt{49 }\)
\(31 = \frac{ 93 }{ 7 - 4 }\)
\(32 = 34 + 7 - 9 \)
\(33 = 97 - 4^{3 }\)
\(34 = \sqrt{34^{9 - 7 }}\)
\(35 = 74 - 39 \)
\(36 = 79 - 43 \)
\(37 = 73 - 4 \cdot 9 \)
\(38 = 34 + 7 - \sqrt{9 }\)
\(39 = 49 - 3 - 7 \)
\(40 = 73 - 4! - 9 \)
\(41 = 43 + 7 - 9 \)
\(42 = 37 - 4 + 9 \)
\(43 = \sqrt{4 \cdot 9} + 37 \)
\(44 = 37 + \sqrt{49 }\)
\(45 = 79 - 34 \)
\(46 = 93 - 47 \)
\(47 = 74 - 3 \cdot 9 \)
\(48 = 37 + \sqrt{4} + 9 \)
\(49 = 4 \cdot \sqrt{9} + 37 \)
\(50 = 34 + 7 + 9 \)
\(51 = \sqrt{7 - 3} + 49 \)
\(52 = 37 + 4! - 9 \)
\(53 = 47 - 3 + 9 \)
\(54 = 97 - 43 \)
\(55 = 7 \cdot \sqrt{9} + 34 \)
\(56 = ( 37 - 9 ) \cdot \sqrt{4 }\)
\(57 = 94 - 37 \)
\(58 = 73 - 4! + 9 \)
\(59 = 43 + 7 + 9 \)
\(60 = 73 - 4 - 9 \)
\(61 = 73 - 4 \cdot \sqrt{9 }\)
\(62 = 74 - 3 - 9 \)
\(63 = 97 - 34 \)
\(64 = ( 39 - 7 ) \cdot \sqrt{4 }\)
\(65 = 93 - 4 \cdot 7 \)
\(66 = 73 - \sqrt{49 }\)
\(67 = 4 \cdot 7 + 39 \)
\(68 = ( 9 - 7 ) \cdot 34 \)
\(69 = 79 - 3! - 4 \)
\(70 = 3 \cdot 7 + 49 \)
\(71 = 74 - \frac{ 9 }{ 3 }\)
\(72 = 79 - 3 - 4 \)
\(73 = 4 \cdot 9 + 37 \)
\(74 = 3 \cdot 9 + 47 \)
\(75 = \frac{ 3 }{ \sqrt{9} } + 74 \)
\(76 = 93 - 4! + 7 \)
\(77 = \frac{ 9 }{ 3 } + 74 \)
\(78 = 73 - 4 + 9 \)
\(79 = ( 4 - 3 ) \cdot 79 \)
\(80 = \sqrt{49} + 73 \)
\(81 = ( 34 - 7 ) \cdot \sqrt{9 }\)
\(82 = 93 - 4 - 7 \)
\(83 = 37 \cdot \sqrt{4} + 9 \)
\(84 = 94 - 3 - 7 \)
\(85 = 97 - 3 \cdot 4 \)
\(86 = 37 + 49 \)
\(87 = \sqrt{4}^{3} + 79 \)
\(88 = 7^{\sqrt{4}} + 39 \)
\(89 = \sqrt{4}^{7} - 39 \)
\(90 = 93 + 4 - 7 \)
\(91 = 3 \cdot 4 + 79 \)
\(92 = ( 37 + 9 ) \cdot \sqrt{4 }\)
\(93 = 94 + 3! - 7 \)
\(94 = ( 7 - 3! ) \cdot 94 \)
\(95 = 34 \cdot \sqrt{9} - 7 \)
\(96 = 93 - 4 + 7 \)
\(97 = 7 \cdot 9 + 34 \)
\(98 = 94 - 3 + 7 \)
\(99 = ( 37 - 4 ) \cdot \sqrt{9 }\)
\(100 = 79 - 3 + 4 !\)