Question

plz solve this question​

Answer 1

Given :-

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

To find :-

x =?

Solution :-

${5}^{x - 3} \times {3}^{2x - 8} = 225 \\ {15}^{(x - 3) + (2x - 8)} = 225 \\ {15}^{x - 3 + 2x - 8} = 225 \\ {15}^{3x - 11} = 225 \\ \frac{15}{3x + 11} = 225 \: \: ..... {a}^{ - m} = \frac{a}{m} \\ 15 = 225 \times (3x + 11) \\ \frac{225}{15} = 3x + 11 \\ 15 = 3x + 11 \\ 15 - 12 = 3x \\ 3 = 3x \\ x = \frac{3}{3} \\ x = 1$

Ans. :

x = 1

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