Solve the below:
Q1. Evaluate the following logarithms.
a)log22log55
b)log23200-2log210
Q2. Solve the following logarithmic equation.
log25=log2(x+32)-log2x
Q3. Determine the derivative of each of the following functions.
a)y=ln(x2+3x+4)
b)y=logx2
c)y=lnx^2/(3x-4)^3
d)y=2x3e4x
e)y=sqrt(x3+e^(-x)+5
Q4. The sound of heavy equipment at a construction site is measured at 145dB. The sound at a rock concert is measured at 125dB. How many times louder is the noise at the construction site than that at the rock concert?