(I have two questions)

Question

1. Solve for x without a calculator:
log3(x^2)=2log3(4)-4log3(5)

This is what I have so far:
2log3(x)=log3(4^2)-log3(5^4)
2log3(x)=log3(16/625)
...and now I'm stuck.

2. Simplify:
2log4(9)-2log3 <--how do you simplify with different bases?

Thanks!

Answer 1

from
2log3(x)=log3(16/625)
log3 (x^2) = log3 (16/625
so x^2 = 16/625
x = √(16/625) = 4/25