Question

solve for x: (4)(7^4x) = (49)(2^4x)

Answer 1

Answer:

x =$\frac{1}{2}$

Step-by-step explanation:

$4 \times {7}^{4x} = 49 \times {2}^{4x} \\ \frac{ {7}^{4x} }{ {2}^{4x} } = \frac{49}{4} \\ { (\frac{7}{2}) }^{4x} = { (\frac{7}{2} )}^{2} \\ \bold{Base \: are \: same. \: So, \: we \: equate\: the \: power} \\ \\ 4x = 2 \\ x = \frac{2}{4} \\\boxed{ x = \frac{1}{2}}$

$\mathtt\red{I \: hope \: you \: like \: it \: and \: mark \: brainliest \: answer}$