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logarithmic equation and derivative

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1.Evaluate the following logarithms.
a)log22log55
b)log23200-2log210

2.Solve the following logarithmic equation.
log25=log2(x+32)-log2x

3.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

4.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?

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Solution Summary

The solution explains how to solve the logarithmic equation in detail. Furthermore, it includes the detailed explained of finding the derivative using the chain rule.

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