Question

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

Answer 1

Answer:

x=5/2

Step-by-step explanation:

Given:

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

Solution:-

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

Hope it helps you!