Question

Find the value of x, if
${5}^{x} + {5}^{x - 1} = 750$

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Answer 1

Answer:

Answer is 3

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Step-by-step explanation:

${5}^{x} + {5}^{x + 1} = 750 \\ = > {5}^{x} + {5}^{x} . {5}^{1} = 750 \\ = > {5}^{x} (1 + 5) = 750 \\ = > {5}^{x} \times 6 = 750 \\ = > {5}^{x} = \frac{750}{6 } \\ = > {5}^{x} = 125 \\ = > {5}^{x} = {5}^{ 3} \\ = > x = 3$