Question

If 4^x-4^x-1=24, then find the value of x.

Answer 1

$\bold{\boxed{HEY!!!}}$

$<b>Here is your answer :-$

${4}^{x} - {4}^{x - 1} = 24 \\ \\ {4}^{x} - {4}^{x} \times {4}^{ - 1} = 24 \\ \\ {4}^{x} (1 - \frac{1}{4} ) = 24 \\ \\ {4}^{x}( \frac{3}{4}) = 24 \\ \\ {4}^{x} = 24 \div \frac{3}{4} \\ \\ {4}^{x} = 24 \times \frac{4}{3} \\ \\ {4}^{x} = 32 \\ \\ { {2}^{2} }^{x} = {2}^{5} \\ \\ 2x = 5 \\ \\ x = 2.5$

$\bold{\boxed{x=2.5}}$


$<marquee>THANKS...$