Question

If 2^6=4^x what is 3^x? ​

Answer 1

Answer:

3^6

Step-by-step explanation:

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Answer 2

||Required Response||

${(2)}^{6} = ({4})^{x} \\ ({2})^{6} = { [{(2)}^{2}] }^{x} \\ ( {2})^{6} = {(2)}^{2x} \\ since \: the \: bases \: are \: equal \: we \: can \\ equate \: the \: powers \\ 6 = 2x \\ x = \frac{6}{2} \\ x = 3$

Value of x = 3, Substitute x in 3^x

$( {3})^{x} \\ {(3)}^{3} \\ 3 \times 3 \times 3 \\ 27$

Required Value

• $\longmapsto\;\red{\bold{27}}$

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