Question

Find x,if log=3/4log16+1/2log25-1/3log8

Answer 1

Step-by-step explanation:

$log(x) = \frac{3}{4} log(16) + \frac{1}{2} log(25) - \frac{1}{3} log(8) \\ log(x) = \frac{3}{4} log( {2}^{4} ) + \frac{1}{2} log( {5}^{2} ) - \frac{1}{3} log( {2}^{3} ) \\ log(x) = \frac{3}{4} \times 4 log(2) + \frac{1}{2} \times 2 log(5) - \frac{1}{3} \times 3 log(2) \\ log(x) = 3 log(2) + log(5) - log(2) \\ log(x) = log( \frac{ {2}^{3} \times 5}{2} ) = log(20) \\ x = 20$