Question

Findthevalueofxforwhich9²ˣ÷9⁻⁵=9¹³​

Answer 1

$\frac{ {9}^{2x} }{ {9}^{ - 5} } = {9}^{13 } \\ (\frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} ) \\ {9}^{2x - ( - 5)} = {9}^{13} \\ {9}^{2x + 5} = {9}^{13} \\ so \: we \: have \: to \: find \: the \: x \: \\ 2x + 5 = 13 \\ 2x = 13 - 5 \\ 2x = 8 \\ x = \frac{8}{2} \\ x = 4$

Hence, x = 4

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