Which equation is equivalent to \(\log_4(x)=3\)?

1. Which equation is equivalent to \(\log_4(x)=3\)?
a. \(4x=3\)
b. \(x^3=4\)
c. \(3^4=x\)
d. \(4^3=x\)
2. Which property can be used to solve \(b^m=b^n\)?
a. Same base property
b. Product property of logarithms
c. Quadratic formula
d. Distributive property
3. Which expression is equivalent to \(\log_3(x-1)+\log_3(x-4)\)?
a. \(\log_3(x-1)-\log_3(x-4)\)
b. \(\log_3(x-1+x-4)\)
c. \(\log_3((x-1)(x-4))\)
d. \(\log_3((x-1)^{x-4})\)