Assignment:
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= lnx2_
(3x-4)3
d)y=2x3e4x
e)y=√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?
Provide complete and step by step solution for the question and show calculations and use formulas.