Question

$if 180 = 2 {x} \times {3}^{2} \times 5find \: the \: value \: of \: x \: is$
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Answer 1

$\huge\mathtt{ANSWER:-}$

$\sf\underline{\blue{\:\:\:\:\: Given:-\:\:\:\:\:}}$

$\sf \bullet 180=2x\times 3{}^{2}\times 5$

• We have to find the value of x

Now :-

$\sf\underline{\pink{\:\:\:\:\: Solution:-\:\:\:\:\:}}$

$\sf\implies 180=2x\times 3\times 3\times 5\\ \\ \sf\implies 180=2x\times 45\\ \\ \sf\implies 180=90x\\ \\ \sf\implies \cancel{\dfrac{180}{90}}=x\\ \\ \sf \implies 2=x\\ \\ \sf \implies x=2$

$\underline{\boxed{\sf{\purple{x=2}}}}$

Answer 2

Answer:

$\large\underline{\underline\textsf{X = 2 }}$

$\tt\large{ We \:have }\begin{cases}\tt\large{180=2x ×3^2×5}\end{cases}$

$\small\underline{\underline{\texttt{\purple{ To \:Find}}}}$

$\small\sf{ \orange{Find \:the\: value \:of\: x }}$

$\huge{\underline\textsf{Explantion:- }}$

$\rightarrow\bf 180 = 2x \times 3 \times 3 \times 2$

$\rightarrow\sf 180 = 2x \times 45$

$\rightarrow\bf180 = 90x$

$\rightarrow\bf \frac{\cancel{180}}{\cancel{90}} = x$

$\rightarrow\bf 2 = x$

$\huge\rightarrow\underline\textsf{X= 2 }$