Question

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Q. Find the Value of x :
$\huge\tt{ {49}^{x} = {7}^{3} }$
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Answer 1

$\red {\huge {\underline{ \frak{Your \: answEr : }}}}$

$\large \leadsto \bold{ {49}^{x} = {7}^{3} }$

$\large \leadsto \bold{ ({7}^{2}) ^{x} = {7}^{3} }$

$\large \leadsto \bold{ {7}^{2x} = {7}^{3} }$

• $\green{\tt{comparing \: \: both \: \: sides}}$

$\large \leadsto \bold{2x = 3}$

$\blue{\huge \leadsto \boxed{\bold{x = \frac{3}{2} }}}$

Answer 2

$\large \rightarrow \tt{ {49}^{x} = {7}^{3} }$

$\large \rightarrow \tt{ {7}^{2x} = {7}^{3} }$

$\large \rightarrow \tt{2x = 3}$

$\green{\large \rightarrow \tt{x = 1.5}}$