SOLUTION: solve for x: log[5](x2(squared)+ x + 4= 2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: solve for x: log[5](x2(squared)+ x + 4= 2      Log On


   

Question 731402: solve for x: log[5](x2(squared)+ x + 4= 2
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
solve for x: log[5](x2(squared)+ x + 4= 2
log%285%2C%28x%5E2%2Bx%2B4%29%29=2
convert to exponential form: base(5) raised to log of number(2)=number(x^2+x+4)
5^2=x^2+x+4=25
x^2+x-21=0
solve for x by quadratic formula:
x=-5.11
or
x=4.11