Question 924551
The number bacteria growing in an incubation culture increases with time according to B(x)=8,200(5)^x, where x is time in days. After how many days will the number of bacteria in the culture be 205,000? 
<pre>
{{{B(x) = 8200(5^x)}}}
{{{205000 = 8200(5^x)}}} ------ Substituting 205,000 for B(x)
{{{205000/8200 = 5^x}}}
{{{25 = 5^x}}}
{{{5^2 = 5^x}}}
2 = x ------ Bases are equal, and so are the exponents
{{{highlight_green(highlight_green(x = 2))}}} days