please show work thank you 2logx 3log10x 570x106 x2100x 32x1

please show work. thank you

2=logx

3=log10^x

5.70x10^-6= x²/.100-x

3.2x10^-4=(x+.20)(x+.20)/(0.20-2x)²

Solution

1. We know that when logx = y, then 10^y = x. Here y = 2. Therefore x = 10² = 100

2. We know that log (mn) = log m + log n. Therefore, log 10x = log 10 + log x = 1 + log x . Therefore, 3 = 1 + log x or, logx = 2. Therefore, x = 10² = 100

The other two expressions are not clear. It is not clear whether the L.H.S. are 5.70*10^-6 or, 5.70x10^-6 and

3.2*10^-4 or, 3.2x10^-4.