Question

if 4^x-4^x-1=24, then find the value of x​

Answer 1

Answer:

4^x - 4^x - 1 = 24

4^x - 4^x = 24 +1=25

Dear, this is wrong question

Step-by-step explanation:

Answer 2

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

I hope this helps you.