Question

solve and please show steps 100e^0.5x=500

Answer 1

1) divide by 100 get
\[e^{.5x}=5\]

Answer 2

2) rewrite in equavalent logarithmic form get
\[.5x=\ln(5)\]

Answer 3

3) divide by .5 get
\[x=2\ln(5)\]

Answer 4

4) if you want a decimal you need a calculator
http://www.wolframalpha.com/input/?i=2log%285%29