Question

$find \: the \: value \: of \: m \: if \: {5}^{m - 3} \times {3}^{2m - 8} = 225$
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Answer 1

Step-by-step explanation:

${5}^{m - 3} \times {3}^{2m - 8} = 225 \\ {5}^{m} \div {5}^{3} \times {3}^{2m} \div {3}^{8} = 225 \\ {5}^{m} \times {3}^{2m} = 25 \times 9 \times {5}^{3} \times {3}^{8} \\ {5}^{m} \times {3}^{2m} = {5}^{2} \times {3}^{2} \times {5}^{3} \times {3}^{8} \\ {5}^{m} \times {3}^{2m} = {5}^{5} \times {3}^{10} \\ {5}^{m} \times {3}^{2m} = {5}^{5} \times {3}^{2 \times 5} \\ so \: x = 5ans$