Question

Show that the equation log (x+5) = 2 - log x may be written as a quadratic equation in x.

Answer 1

\[\log_{10}(x+5)=2-\log(x)=>\log(x+5)+logx=2=>\log(x)(x+5)=2=>x(x+5)=10^2=>x^2+5x=100\]

Answer 2

I dont understand.

Answer 3

first bring log(x) other side by adding it on both sides

Answer 4

then by log (a)+log (b)=log(a.b) property we get log(x)(x+5)

Answer 5

the answer is supposed to be x2+5x=100

Answer 6

yes that is the answer (what i typed above is not visible even to me),i wrote a long stright equation