Question 1139012
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<pre>
8000 = {{{5000*(1+0.06/12)^n}}},


where n is the number of months.


{{{8000/5000}}} = {{{(1 + 0.06/12)^n}}}


{{{8/5}}} = {{{(1 + 0.06/12)^n}}}


{{{log((8/5))}}} = {{{n*log((1+0.06/12))}}}


n = {{{log((8/5))/log((1+0.06/12))}}} = 94.2.


<U>ANSWER</U>.  95 months, or about 8 years.


<U>CHECK</U>.   {{{5000*(1+0.06/12)^95}}} = 8030.56.   ! Correct !
</pre>

Solved.