Question

4^(2x-1)-16^(x-1)=384 Find the value of x​

Answer 1

Step-by-step explanation:

i hope this will help you

Answer 2

Answer:

11/4 or 2.75

Step-by-step explanation:

$4^{2x - 1} - 16^{x - 1} = 384$

=> $4^{2x - 1} - 4^{2}^{(x - 1)} = 384$

=> $4^{2x - 1} - 4^{2x - 2} = 384$

=> $\frac{4^{2x}}{4^{1}} - \frac{4^{2}}{4^{2}} = 384$                            (Laws of exponents)

=> $4^{2x} (\frac{1}{4} - \frac{1}{16}) = 384$                       (Taking $4^{2x}$ common)    

=> $4^{2x} (\frac{3}{16})$

=> $4^{2x} = 384(\frac{16}{3})$

=> $4^{2x} = 2048$

=> $4^{2x} = 4^{\frac{11}{2}}$

Comparing, 2x = 11/2

∴ x = 11/4 or 2.75