Question

Find x

1) 6log(down)10 x=1.6

2) e^-4x=1.943

3) 1.3x10^-4 x=4.7/x -6.3x10^-3

4) 6lnx=1.6

5) x^2¡Ñ23y^2 = 1.78x10^32¡Ñz

please help I really can't solve this problem.

Answer 1

6log_10 x=1.6
log_10 x = 1.6/6
x = 10^(1.6/6) = 1.848

e^(-4x) = 1.943
-4x = ln 1.943
x = (ln 1.943)/-4 = -0.166

OK. I'll take a stab at parsing this one:
(1.3*10^-4) x = 4.7/(x - 6.3*10^-3)
x(x - 6.3*10^-3) = 4.7/(1.3*10^-4)
x^2 - 0.0063x - 36153.846 = 0
x = -190.138, 190.145
I suspect I'm wrong, but all those x's and missing parentheses gave me the willies...

6lnx = 1.6
This is just #1, but using base e instead of 10

Can't parse the special symbols. Try using some ascii characters, or even (ugh) words