Question

solve the logarithmic equation
log(x+3)+logx=1

Answer 1

\[\log \left( x+3 \right)+logx=1,\]
\[logx \left( x+3 \right)=1=\log10\]
\[x \left( x+3 \right)=10\]
\[x ^{2}+3x-10=0\]
make factors and solve for x.

Answer 2

-5,2

Answer 3

x=-5 rejected because domain of log is (0,infinity)