Question

300=100e^70t

Answer 1

hold on!

Answer 2

so this is basically the equation you are looking for? \[100e^{70t}=300\]

Answer 3

\[\frac{100e^{70t}}{100}=\frac{300}{100}\]

Answer 4

\[e^{70t}=3\]

Answer 5

\[\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)\]

Answer 6

\[\ln \left(e^{70t}\right)=\ln \left(3\right)\]

Answer 7

\[\mathrm{Use\:the\:logarithmic\:definition:\quad }\ln \left(e^{f\left(x\right)}\right)=f\left(x\right)\]

Answer 8

\[70t=\ln \left(3\right)\]

Answer 9

can you figure out the rest on your own? what is the answer?