Question

If 2^x + 1 + 3.2^ x-3= 76 find x

Answer 1

${2}^{x} + 1 + {3.2}^{x} - 3 = 76 \\ {2}^{x} + {3.2}^{x} = 76 - 1 + 3 \\ {2}^{x} + {3.2}^{x} = 78 \\ taking \: powers \\ x + x = 1 \\ 2x =1 \\ x = \frac{1}{2}$
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