Question 305437
     
{{{2e^(0.07t)=6}}}

Do I divide the 2 on each side?
<pre><font size = 4 color = "indigo"><b>
Yes, that's the first step.

{{{e^(0.07t)=3}}}

The next thing is to use the rule for changing an exponential
equation to a logarithmic equation, which is the following
<font color = "red">
The exponential equation {{{B^A=C}}} is equivalent to the 
logarithmic equation {{{A = log(B,(C))}}} which in the case of
natural logs:  {{{e^A=C}}} is equivalent to {{{A=ln(C)}}}
</font>
{{{0.07t=ln(3)}}}

Divide the 0.07 on each side:

{{{t=ln(3)/0.07}}}

Get a calculator and punch out the answer:

{{{t=15.69446127}}}

Edwin</pre>