Question 754806
solve for x
3^(x-7)=14^(2x)
solve for x
(x-7)*log(3) = 2x*log(14)
x*log(3) - 7log(3) = 2x*log(14)
xlog(3) - 2x*log(14) = 7log(3)
x*(log(3) - 2log(14)) = 7log(3)
{{{x = 7log(3)/(log(3) - 2log(14))}}}
{{{x = log(2187)/log(3/196)}}}
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also, x = ln(2187)/ln(3/196) or logs to any matching bases