1 \(3^{x} \times 3 \times 3^{4} = 3^{21}\)
\(x = 16\) لأن \(3^{16} \times 3^{1} \times 3^{4} = 3^{21}\)
2 \(6^{2} \times 6 = 6^{x}\)
\(x = 3\) لأن \(6^{2} \times 6^{1} = 6^{3}\)
3 \(8^{x} \times 8^{2} = 8^{8}\)
\(x = 6\) لأن \(8^{6} \times 8^{2} = 8^{8}\)
4 \(9^{x} \times 9^{5} \times 9^{2} = 9^{7}\)
\(x = 0\) لأن \(9^{0} \times 9^{5} \times 9^{2} = 9^{7}\)
5 \(10^{x} \times 10^{2} = 10000\)
\(x = 2\) لأن \(10^{2} \times 10^{2} = 10^{4} = 10000\)
6 \(5^{x} \times 5^{2} = 5^{6}\)
\(x = 4\) لأن \(5^{4} \times 5^{2} = 5^{6}\)
7 \(3^{x} \times 3^{1} \times 3^{2} = 81\)
\(x = 1\) لأن \(3^{1} \times 3^{1} \times 3^{2} = 3^{4} = 81\)
8 \(5^{x} \times 5^{2} = 125\)
\(x = 1\) لأن \(5^{1} \times 5^{2} = 5^{3} = 125\)
9 \(2^{x} \times 2^{2} = 32\)
\(x = 3\) لأن \(2^{3} \times 2^{2} = 2^{5} = 32\)
10 \(9^{x} \times 9^{5} \times 9^{2} = 9^{7}\)
\(x = 0\) لأن \(9^{0} \times 9^{5} \times 9^{2} = 9^{7}\)
11 \(3^{x} \times 3^{3} = 27\)
\(x = 0\) لأن \(3^{0} \times 3^{3} = 3^{3} = 27\)
12 \(5 \times 5^{18} \times 5^{x} \times 5^{2} = 5^{25}\)
\(x = 4\) لأن \(5^{1} \times 5^{18} \times 5^{4} \times 5^{2} = 5^{25}\)
13 \(5^{2} \times 25 = \ldots\)
\(5^{2} \times 5^{2} = 5^{4} = 625\)
14 \(3^{2} \times 27 = \ldots\)
\(3^{2} \times 3^{3} = 3^{5} = 243\)
15 \(5^{2} \times 125 \times 5^{3} = \ldots\)
\(5^{2} \times 5^{3} \times 5^{3} = 5^{8}\)
16 \(3^{2} \times 9 = \ldots\)
\(3^{2} \times 3^{2} = 3^{4} = 81\)
17 \(4^{6} \times 16 = \ldots\)
\(4^{6} \times 4^{2} = 4^{8} = 65536\)
18 \(2^{2} \times 32 \times 2^{9} = \ldots\)
\(2^{2} \times 2^{5} \times 2^{9} = 2^{16} = 65536\)
19 \(49 \times 7^{32} = \ldots\)
\(7^{2} \times 7^{32} = 7^{34}\)
20 \(11^{6} \times 121 = \ldots\)
\(11^{6} \times 11^{2} = 11^{8}\)
21 \(8^{2} \times 64 = \ldots\)
\(8^{2} \times 8^{2} = 8^{4} = 4096\)
22 \(25 \times 5^{2} = \ldots\)
\(5^{2} \times 5^{2} = 5^{4} = 625\)
23 \(2^{6} \times 64 = \ldots\)
\(2^{6} \times 2^{6} = 2^{12} = 4096\)
24 \(3^{9} \times 27 = \ldots\)
\(3^{9} \times 3^{3} = 3^{12} = 531441\)
25 \(144 \times 12^{6} = \ldots\)
\(12^{2} \times 12^{6} = 12^{8} = 429981696\)
26 \(4^{5} \times 64 = \ldots\)
\(4^{5} \times 4^{3} = 4^{8} = 65536\)
27 \(3^{9} \times 9 \times 27 = \ldots\)
\(3^{9} \times 3^{2} \times 3^{3} = 3^{14} = 4782969\)
28 \(10000 \times 10^{6} = \ldots\)
\(10^{4} \times 10^{6} = 10^{10} = 10000000000\)
29 \(8^{5} \times 64 \times 8^{5} = \ldots\)
\(8^{5} \times 8^{2} \times 8^{5} = 8^{12} = 68719476736\)
30 \(5^{2} \times 5 \times 25 = \ldots\)
\(5^{2} \times 5^{1} \times 5^{2} = 5^{5}\)