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Section 6.3 : Solving Exponential Equations

Solve each of the following equations.

1. \({6^{2x}} = {6^{1 - 3x}}\) Solution
2. \({5^{1 - x}} = 25\) Solution
3. \({8^{{x^{\,2}}}} = {8^{3x + 10}}\) Solution
4. \({7^{4 - x}} = {7^{4x}}\) Solution
5. \({2^{3x}} = 10\) Solution
6. \({7^{1 - x}} = {4^{3x + 1}}\) Solution
7. \(9 = {10^{4 + 6x}}\) Solution
8. \({{\bf{e}}^{7 + 2x}} - 3 = 0\) Solution
9. \({{\bf{e}}^{4 - 7x}} + 11 = 20\) Solution