Question

find x please don't forget to give complete solution ​

Answer 1

$\bigstar$$\boxed{\huge{\red{\mathfrak{Answer}}}}$$\bigstar$

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❥︎ ${4}^{x}-{4}^{x-1} = 24$

❥︎ ${4}^{x}-{4}^{x} \times {4}^{-1} = 24$

Taking ${4}^{x}$ common .

❥︎ ${4}^{x}[1-{4}^{-1}]=24$

❥︎ ${4}^{x}[1-\frac{1}{4}]=24$

❥︎ ${4}^{x}[\frac{3}{4}]=24$

❥︎ ${4}^{x}=24 \times \frac{4}{3} = 32$

❥︎ ${2}^{2x}={2}^{5}$

❥︎ $2x = 5$

❥︎ $x = \frac{5}{2}$