hello, can someone help me with these questions? Thanks!

Problem 1. Find the domain of the function f (x) = log; (7 + 3x). Problem 2. Write the expression as a sum and/or difference of logarithms with no exponents: logA T y323 Problem 3. Write the expression as a single logarithm: 1 - log4 x + 2log4y - 410g4 Z Problem 4. Solve for x: logz (x + 2) + log2 x = 3. . Problem 5. The cost of a can of Coca Cola in 1960 was $0.10. The function that models the cost of a Coca Cola can by year is C(t) = 0.10e0.0576t, where : is the number of years since 1960. In what year was it expected that a can of Coca Cola will cost $1.00