Math, asked by winnie1674, 10 months ago

plz ans this I will mark as brainliest but just if the ans will correct...... ​

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Answered by DrNykterstein
1

</p><p>=  =  &gt;  \:  \:  {4}^{x}  -  {4}^{x  -  1}  = 24 \\  \\  =  =  &gt;  \:  \:  {4}^{x} (1 -  {4}^{ - 1} ) = 4 \times 6 \\  \\  =  =  &gt;  \:  \:  {4}^{x}  \left( \frac{3}{4}  \right) = 4 \times 6 \\  \\  =  =  &gt;  \:  \:  {4}^{x}  = 32 \\  \\  =  =  &gt;  \:  \:  {2}^{2x}  =  {2}^{5}  \\  \\  =  =  &gt;  \:  \: 2x = 5 \\  \\  =  =  &gt;  \:  \: x =  \frac{5}{2} \\ \\ ==&gt; \: \: {\left(2 \times \frac{5}{2} \right)}^\frac{5}{2} \\ \\ ==&gt; \: \: 5^{\frac{5}{2} } \\ \\ \Rightarrow \qquad \sf{ \sqrt{ 5^{5} } } </p><p>

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