Logarithm Laws
1. logₐ(x)+logₐ(y)=logₐ(x·y)
2. logₐ(x)-logₐ(y)=logₐ(x/y)
3. k·logₐ(x)=logₐ(xᵏ)
4. logₐ(b)=log_c(b)/log_c(a)
Simplify
log2(8)+log2(4) , 2*log10(5) , log(100)-log(10)
Solve Equations
log2(x)=3 , Log2(x)=3 , log_2(x)=3 , log(x)=2 , log(x)+log(x+1)=1 , 2*log3(x)=4