Question

value of x so that 3power2 ×(_4)power 2=(_12)power 2x
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Answer 1

$\huge\underline\mathcal\orange{Answer}$

${3}^{2} \times {4}^{2} = {12}^{2x} \\ {(3 \times 4)}^{2} = {12}^{2x} \\ {12}^{2} = {12}^{2x} \\ 2 = 2x \\ x = \frac{2}{2} \\ x = 1$

${a}^{m} \times {b}^{m} = ( {a \times b)}^{m}$

Answer 2

Step-by-step explanation:

${3}^{2} \times {4}^{2} = {12}^{2x} \\ = > {3}^{2} \times {2}^{2 \times 2} = {3}^{2x} \times {4}^{2x} = {3}^{2x} \times {2}^{2 \times 2x}$

${3}^{2x} = {3}^{2} \\ = > 2x = 2(on \: comparing \: power \: of \: gin \\ ven \: eq) \: \\ = > x = 1$