Question

Find the value of x if

Answer 1

Answer:

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Answer 2

Answer:

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

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

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

${5}^{x} \times {3}^{2x} = {5}^{5} \times {3}^{10}$

${5}^{x} + {3}^{x} = {5}^{5} \times {3}^{ \frac{10}{5} }$

${15}^{x} = {5}^{5} \times {3}^{5}$

${15}^{x} = {15}^{5}$

$x = 5$

$hope \: it \: helps \: you$