Demonstrate at least two different ways how to solve the equation 5^(2x+1)=25 ! i need one way to be the logarithmic method

The system of equations graphed below has how many solutions?

Arestaurant gives out a scratch-off card to every customer. the probability that a customer will win a prize from a scratch-off card is 25%. design and conduct a simulation using random numbers to find the experimental probability that a customer will need more than 3 cards in order to win a prize. justify the model for your simulation, and conduct at least 10 trials.

Which equation is y = -6x2 + 3x + 2 rewritten in vertex form?