Solve the logarithmic equation.3 log(base 2) x = - log (base 2) 27

Question

Solve the logarithmic equation. Express irrational solutions in exact form and as a decimal rounded to three decimal places.

Answer 1

Step 1 :

The logarithmic equation is .

The equation can be written as : .  (Since )

Apply power property of logarithm : , where .

Apply one-one property of logarithm : if and only if , where .

The solution is .

Solution :

The solution is .