Question

Solve ; 4^2x = 1/32

Solve ....​

Answer 1

Answer:

${4}^{2x} = \frac{1}{32}⇒{ ({2}^{2}) }^{2x}= \frac{1}{2}^{5}$

⇒ {2}^{4x} = {2}^{5} \\

⇒4x=−5 \\

= > x= \frac{ - 5}{4}[/tex]

Explanation:

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Answer 2

${\boxed{\fcolorbox{lime}{green}{\dag QUESTION:}}}$

Solve ; 4^2x = 1/32

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${\boxed{\fcolorbox{lime}{green}{\dag ANSWER:}}}$

${4}^{2x} = \frac{1}{32} \\ {2}^{(2)(2x)} = \frac{1}{{2}^{5} } \\ {2}^{4x} = {2}^{ (- 5)} \\ (now \: comparing \: the \: indices \: of \: 2 \: from \: the \: above \: result) \\ 4x = ( - 5) \\ x = \frac{ - 5}{4}$

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