Question 449498
{{{log(x,5) = 8 + log(9,x)}}}
log(5)/log(x) = 8 + log(x)/log(9) = [8*log(9) + log(x)]/log(9)
log(5)/log(x) = (8*log(9) + log(x))/log(9)
log(5)*log(9) = log(x)*(8log(9) + log(x))
{{{(log(x))^2 + 8*log(9)*log(x) - log(5)log(9) = 0}}}
Sub u for log(x)
{{{u^2 + 8*log(9)*u - log(5)*log(9) = 0}}}
{{{u^2 + 7.63394u - 0.6669869 = 0}}}
*[invoke solve_quadratic_equation 1,76.3394,0.6669869]
x1 and x2 are the logs of x.
x = 0.980080785
x = 4.670228502E-77