Math, asked by vikrant110, 8 months ago

Pls tell the answer of this question

please do send irrelevant answers​

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Answers

Answered by gurnoor3108
2

Answer

x= \frac{5}{2}

Solution

4^{x} - 4^{x-1} = 24

4^{x} - 4^{x} * 4^{-1} = 24

4^{x} - 4^{x} * \frac{1}{4} = 24

4* 4^{x} - 4^{x} = 24*4

4^{x} (4-1) = 96

4^{x} = \frac{96}{3} = 32\\4^{x} = 2^{5} \\

(2^{2})x = 2^{5} \\

2^{2x} = 2^{5} \\2x = 5 \\x= \frac{5}{2}

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