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Algebra Problem Set with Logarithms

(See attached file for full problem description with proper symbols)

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1. Given that s = 1.59t(1-3v), obtain the value of v when s = 3.52 and t = 21.56.

2. If y = x , calculate the value of p given that y = 2.65 and x = 0.745.

3. If x = (1 + 1nr), evaluate r when x =0.34, P = 1.08 and Q = 1.84.

4. solve log(2x +3) = log(4x) +2, for x giving your answer correct to 3 significant figures

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1.) s = 1.59t(1-3v)
s/1.59t = 1-3v
3v = 1 - (s/1.59t)
v = 1/3 - (s/4.77t)
Substituting s = 3.52 and t = 21.56, we have,
v = 1/3 - 3.52/4.77x21.56
= 1/3 - 0.03423
= 0.2991

2) y = x(1/p-1) ...

Solution Summary

This solution is comprised of a detailed explanation to obtain the value of v when s = 3.52 and t = 21.56.

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