Question

Find the value of x, if 5^x -3 .3^2x - 8 = 225
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Answer 1

Answer:

x = 5

Step-by-step explanation:

${5}^{x - 3} \times {3}^{2x - 8} = 225 \\ \\ {5}^{x - 3} \times {3}^{2x - 8} = {5}^{2} \times {3}^{2} \\ {5}^{x - 3} = {5}^{2} \\ x - 3 = 2 \\ x = 2 + 3 = 5 \\ \\ {3}^{2x - 8} = {3}^{2} \\ 2x - 8 = 2 \\ 2x = 2 + 8 \\ 2x = 10 \\ x = \frac{10}{2} = 5$