Question 917167
{{{1000(2^(x/5)^"") = 3450 }}}



{{{2^(x/5)^"" = 3450/1000 }}}



{{{2^(x/5)^"" = 3.450 }}}



{{{log((2^(x/5)^"")) = log((3.450)) }}} Apply the log to both sides to isolate the exponent



{{{(x/5)*log((2)) = log((3.450)) }}}



{{{x*log((2)) = 5*log((3.450)) }}}



{{{x = 5*log((3.450))/log((2)) }}}



{{{x = 5*log(2,(3.450)) }}}



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The exact solution is {{{x = 5*log(2,(3.450)) }}}



Use a calculator to get {{{x = 5*log((3.450))/log((2)) =  8.93298}}}



So the approximate solution is roughly {{{x = 8.93298}}}



Let me know if you need more help or if you need me to explain a step in more detail.
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Thanks,


Jim