2logx+3logx=10
$$\\logx^2+logx^3=10\\\\
log(x^2*x^3)=10\\\\
log(x^5)=10\\\\
10^{log(x^5)}=10^{10}\\\\
x^5=10^{10}\\\\
(x^5)^{1/5}=(10^{10})^{1/5}\\\\
x=10^2\\\\
x=100$$
OR BETTER STILL
2logx+3logx=10
$$\\5logx=10\\\\
logx=2\\\\
x=10^2\\\\
x=100$$
BUT why do it the easy way when there is a perfectally good difficult route that can be traversed? :))
2logx+3logx=10
$$\\logx^2+logx^3=10\\\\
log(x^2*x^3)=10\\\\
log(x^5)=10\\\\
10^{log(x^5)}=10^{10}\\\\
x^5=10^{10}\\\\
(x^5)^{1/5}=(10^{10})^{1/5}\\\\
x=10^2\\\\
x=100$$
OR BETTER STILL
2logx+3logx=10
$$\\5logx=10\\\\
logx=2\\\\
x=10^2\\\\
x=100$$
BUT why do it the easy way when there is a perfectally good difficult route that can be traversed? :))