Assignment:
Use the properties of algebraic, trigonometric, logarithmic and exponential functions to solve problems.
Q1) Solve the following equation: log5 X + log5(X-2) = log5 X
Q2) The half-life of a certain radioactive element is 100days. That means that after 100 days ½ of the radioactive substance will have decayed to one half of its original amount. How long will it take to decay to ¼ of the original amount if decay equation is of the form A(t) = Ce^kt where C is the amount of substance.
Q3) Show on unit circle: sin(- x) = -sin x, cos(- x) = cos x, and what tan(- x) equals.
Provide complete and step by step solution for the question and show calculations and use formulas.