All 100 targets have a solution.
\(1 = 39^{7 - 7 }\)
\(2 = \sqrt{\sqrt{93 - 77 }}\)
\(3 = \sqrt{93 + 7} - 7 \)
\(4 = \sqrt{93 - 77 }\)
\(5 = \sqrt{39 - 7 - 7 }\)
\(6 = 79 - 73 \)
\(7 = 9 - ( 3 - \frac{ 7 }{ 7 } )\)
\(8 = 9 - 3^{7 - 7 }\)
\(9 = ( 7 - 7 ) \cdot 3 + 9 \)
\(10 = 7 \cdot 7 - 39 \)
\(11 = 3 - \frac{ 7 }{ 7 } + 9 \)
\(12 = \frac{ 79 - 7 }{ 3 ! }\)
\(13 = \frac{ 97 - 3! }{ 7 }\)
\(14 = \sqrt{( 37 - 9 ) \cdot 7 }\)
\(15 = \sqrt{73 - 9} + 7 \)
\(16 = 93 - 77 \)
\(17 = 737 - \sqrt{9 }!!\)
\(18 = ( 3 - \frac{ 7 }{ 7 } ) \cdot 9 \)
\(19 = ( 7 - 3 ) \cdot 7 - 9 \)
\(20 = 7 - 3 + 7 + 9 \)
\(21 = 37 - 7 - 9 \)
\(22 = \frac{ 73 - 7 }{ \sqrt{9 } }\)
\(23 = 77 - 3! \cdot 9 \)
\(24 = 97 - 73 \)
\(25 = 39 - 7 - 7 \)
\(26 = 7 \cdot 9 - 37 \)
\(27 = 37 - 7 - \sqrt{9 }\)
\(28 = ( 7 - \frac{ 9 }{ 3 } ) \cdot 7 \)
\(29 = ( 7 - 3 ) \cdot 9 - 7 \)
\(30 = \frac{ 97 - 7 }{ 3 }\)
\(31 = 73 - 7 \cdot \sqrt{9 }!\)
\(32 = 39 - \sqrt{7 \cdot 7 }\)
\(33 = 37 - 7 + \sqrt{9 }\)
\(34 = 7 \cdot 7 - 3! - 9 \)
\(35 = 37 + 7 - 9 \)
\(36 = ( \frac{ 7 }{ 7 } + 3 ) \cdot 9 \)
\(37 = \sqrt{37^{9 - 7 }}\)
\(38 = 77 - 39 \)
\(39 = 37 - 7 + 9 \)
\(40 = \frac{ 7 }{ 7 } + 39 \)
\(41 = 37 + 7 - \sqrt{9 }\)
\(42 = 79 - 37 \)
\(43 = 7 \cdot 7 + 3 - 9 \)
\(44 = 93 - 7 \cdot 7 \)
\(45 = ( 7 - \sqrt{7 - 3} ) \cdot 9 \)
\(46 = \sqrt{7 \cdot 7} + 39 \)
\(47 = 37 + 7 + \sqrt{9 }\)
\(48 = ( 9 - \frac{ 7 }{ 7 } ) \cdot 3 !\)
\(49 = ( 9 - 3 ) \cdot 7 + 7 \)
\(50 = 77 - 3 \cdot 9 \)
\(51 = ( 7 + 7 ) \cdot 3 + 9 \)
\(52 = 73 - 7 \cdot \sqrt{9 }\)
\(53 = 37 + 7 + 9 \)
\(54 = ( 7 - ( 7 - 3 ) )! \cdot 9 \)
\(55 = 79 - ( 7 - 3 )!\)
\(56 = \sqrt{73 - 9} \cdot 7 \)
\(57 = 73 - 7 - 9 \)
\(58 = 79 - 3 \cdot 7 \)
\(59 = 779 - 3 !!\)
\(60 = 97 - 37 \)
\(61 = 7 \cdot 7 + 3 + 9 \)
\(62 = 77 - 3! - 9 \)
\(63 = 73 - 7 - \sqrt{9 }\)
\(64 = ( 7 - 3 ) \cdot ( 7 + 9 )\)
\(65 = 77 - 3 - 9 \)
\(66 = 79 - 3! - 7 \)
\(67 = 7 \cdot 9 - 3 + 7 \)
\(68 = 77 - 3 \cdot \sqrt{9 }\)
\(69 = 79 - 3 - 7 \)
\(70 = \sqrt{93 + 7} \cdot 7 \)
\(71 = 73 + 7 - 9 \)
\(72 = 73 - 7 + \sqrt{9 }!\)
\(73 = \sqrt{73^{9 - 7 }}\)
\(74 = ( 9 - 7 ) \cdot 37 \)
\(75 = 73 - 7 + 9 \)
\(76 = 97 - 3 \cdot 7 \)
\(77 = 797 - 3 !!\)
\(78 = \frac{ 3 }{ \sqrt{9} } + 77 \)
\(79 = 93 - 7 - 7 \)
\(80 = \frac{ 9 }{ 3 } + 77 \)
\(81 = \sqrt{7 - 3} + 79 \)
\(82 = ( 3! + 7 ) \cdot 7 - 9 \)
\(83 = 77 - 3 + 9 \)
\(84 = 97 - 3! - 7 \)
\(85 = ( 3! + 7 ) \cdot 7 - \sqrt{9 }!\)
\(86 = 3 \cdot \sqrt{9} + 77 \)
\(87 = 97 - 3 - 7 \)
\(88 = 7 \cdot 7 + 39 \)
\(89 = 73 + 7 + 9 \)
\(90 = ( 37 - 7 ) \cdot \sqrt{9 }\)
\(91 = ( 7 - 3 + 9 ) \cdot 7 \)
\(92 = 93 - \frac{ 7 }{ 7 }\)
\(93 = 93 - 7 + 7 \)
\(94 = \frac{ 7 }{ 7 } + 93 \)
\(95 = 97 - \sqrt{7 - 3 }\)
\(96 = 97 + 3! - 7 \)
\(97 = ( 7 - 3! ) \cdot 97 \)
\(98 = 97 - 3! + 7 \)
\(99 = \sqrt{7 - 3} + 97 \)
\(100 = 7 \cdot 9 + 37 \)