# Thread: Solve for x and y. Includes logs, trigonometric eqns, and simultaneous equations.

1. ## Solve for x and y. Includes logs, trigonometric eqns, and simultaneous equations.

For the problem below, I only need help on expalnation for part b.

2. For the first problem, graph the 2 equations. It is then easy to see that there are 2 solutions: one negative and one positive.

For the second problem, take logarithms on both sides
$\displaystyle (x+2)ln 3=(2x-1)ln 5$
$\displaystyle \frac{x+2}{2x-1}=\frac{ln 5}{ln 3}$

For part b),
i) $\displaystyle (f+g)(0)=f(0)+g(0)=2+1=3$
ii) $\displaystyle (fg)(0)=f(0)g(0)=2*1=2$

3. Originally Posted by delicate_tears
For the problem below, I only need help on expalnation for part b.
You've found the "rules" in part (a). Now plug zero in for "x" in those rules.