Question

Pls help w this question

Answer 1

Answer:

f(x) = -2x + 1

Step-by-step explanation:

The given expression is $\frac{64^x}{4^{5x-1}}$

By solving the given expression further,

$\frac{64^x}{4^{5x-1}}$ = $\frac{[(4)^{3}]^x}{(4)^{5x-1}}$ [Since 64 = 4³]

        = $\frac{4^{3x}}{4^{5x-1}}$

        = $4^{3x}\times 4^{-(5x-1)}$ [Since $\frac{1}{a}=a^{-1}$]

        = $4^{3x-5x+1}$ [Since $a^x\times a^y=a^{(x+y)}$]

        = $4^{(-2x+1)}$

By comparing the result with $4^{\text{f(x)}}$

f(x) = -2x + 1

Therefore, f(x) = (-2x + 1) will be the answer.