Question

Solve for x in the equation:log6-2logx=1.4​

Answer 1

9514 1404 393

Answer:

x = (√6)/10^0.7 ≈ 0.488737

Explanation:

It can work reasonably well to take antilogs first.

`\log(6)-2\log(x)=1.4\\\\(6)/(x^2)=10^(1.4)\\\\(6)/(10^(1.4))=x^2\\\\x=(√(6))/(10^(0.7))\approx0.488737`