Question

. Find the value of x
$2x× 2x= 2⁸$

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Answer 1

ANSWER :

$\begin{gathered}\begin{gathered}: \implies \underline{ \boxed{\displaystyle \sf \bold{\:2x \: \times \: 2x \: = {2}^{8} }} }\\ \\\end{gathered}\end{gathered}$

Bases are same so, we will add the power

$\begin{gathered}\begin{gathered}\\ : \implies \displaystyle \sf \: {2}^{2x} \: = \: {2}^{8} \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\\ : \implies \displaystyle \sf \: {2}^{2×4} \: = \: {2}^{8} \\ \\ \\\end{gathered}\end{gathered}$

X = 4

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VERIFICATION

$\begin{gathered}\begin{gathered}: \implies \underline{ \boxed{\displaystyle \sf \bold{\: {2}^{2 \times 4} \: = \: {2}^{8} }} }\\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\\ : \implies \displaystyle \sf \: {2}^{8} \: = \: {2}^{8} \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\\ : \implies \displaystyle \sf \: 256\: = \: 256 \\ \\ \\\end{gathered}\end{gathered}$

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Answer 2

Answer:

x = 4

I think there is a mistake.

Who is reporting my answer

Step-by-step explanation:

It should be $2^x$.

${2}^{x} \times {2}^{x} = {2}^{8} \\ \\ {2}^{2x} = {2}^{8} \\ \\ comparing \: powers \\ \\ 2x = 8 \\ \\ x = 4$

Hope it helps u