Question

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Answer 1

Answer:-

x = 15 or 21

Step - by - step explanation:-

Find :-

Value of x= ?

Solution:-

According to the question→

$\bf{{3}^{( {x}^{2} - 6x - 12)} = 27} \\ \\ \bf{ {3}^{( {x}^{2} - 6x - 12)} = {3}^{3} }$

Comparing power on both sides

Then ,we get→

$\implies \bf{ {x}^{2} - 6x - 12 = 3 }\\ \\ \implies \: \bf{{x}^{2} - 6x = 15 }\\ \\ \bf{ \implies \: x(x - 6) = 15}$

• x = 15

Or ,

• x - 6 = 15

x = 21