Read questions carefully and to pay close attention to the meaning of a statement to ensure when rules can and cannot be applied.

1. If f(x) = log x - 4, g(x) = (x + 5)2and h(x) = (ffg)(x). Determine the x-intercept of h(x) algebraically.

2. Solve log x6- log x2= 8 using two different techniques.

3. Solvelogx(x1x2+4x4)=3logx(x1)

4. The expression 52(log23+4)can be simplified to a final answer oflog32log2304

Use your knowledge of logarithms, their laws and fractions to show how the first expression can be simplified to the final answer. Be sure to clearly show all steps leading to the final answer.