Question

Find the value of x in the following
​

Answer 1

Answer:

x=4

Step-by-step explanation:

$\frac{1}{16} \times \frac{1}{4} =( { \frac{1}{2}) }^{3(x - 2)}$

$\frac{1}{64} = ({ \frac{1}{2} )}^{3(x - 2)}$

${ (\frac{1}{2} )}^{6} = ( { \frac{1}{2} )}^{3(x - 2)}$

Hence,

$6 = 3(x - 2)$

because, variable has same value.

$6 = 3x - 6$

$12 = 3x$

$x = \frac{12}{3}$

$x = 4$

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