Question 978281
log3(x) - 6logx(3)=5
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Do you mean
{{{log(3,x) - 6log(x,3)=5}}}
log(x)/log(3) - 6log(3)/log(x) = 5
log(x)*log(x) - 6*log(3)*log(3) = 5*log(3)*log(x)
log(x)*log(x) - 5*log(3)*log(x) - 6*log(3)*log(3) = 0
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Sub u for log(x)
{{{u^2 - log(243)*u - 6log(3)*log(3) = 0}}}
{{{u = log(243)/2 + sqrt((log(243))^2 + 24log(3)log(3))/2}}}
u =~ 2.05553 = log(x)
x =~ 113.63985
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{{{u = log(243)/2 - sqrt((log(243))^2 + 24log(3)log(3))/2}}}
u =~ -1.284318 = log(x)
x =~ 0.0519615