how to solve for X???
.0158 / [.184^4] * X = 5.6e^11
much thanks!
ok, one way to go is to flip both sides. but students usually have trouble reconciling with that, so let's not do that. students seem to like cross multiplying, so let's do that one. you know how to cross multiply right?
$\displaystyle \frac {0.0158}{0.184^4x} = \frac {5.6e^{11}}1$
cross-multiply means we multiply the numerator on the right by the denominator on the left and the numerator on the left by the denominator on the right.
which means, we multiply the blues and the reds together:
$\displaystyle \frac {{\color{red}0.0158}}{{\color{blue}0.184^4x}} = \frac {{\color{blue}5.6e^{11}}}{\color{red}1}$
so we get:
$\displaystyle 5.6e^{11} \cdot 0.184^4x = 0.0158$ ...........now divide both sides by $\displaystyle 5.6e^{11} \cdot 0.184^4$
$\displaystyle \Rightarrow x = \frac {0.0158}{5.6e^{11} \cdot 0.184^4}$
now plug that into your calculator and simplify. you could have as well work some of these out from the beginning if it is easier for you