Question

"absmiddle" class="latex-formula">

Answer 1

Answer:

  x = 162

Step-by-step explanation:

The equation editor lets you properly write exponents, so we have to assume that your equation is supposed to be equivalent to ...

  27 = x/6

  27·6 = x = 162 . . . . multiply by 6

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On the off chance you intend ...

$27=\left(\dfrac{1}{3}\right)^{\dfrac{x}{2}}$

you can solve this by taking logarithms and dividing by the coefficient of x. Using base 3 for the logarithm may be easiest.

$\log_3{(27)}=\dfrac{x}{2}\log_3{(3^{-1})}\\\\3=-\dfrac{x}{2} \qquad\text{simplify}\\\\-6=x \qquad\text{multiply by -2}$

This version of the equation has solution x = -6.