1.a) Find the domain of f(x) = x + log(2x – 5)

b) Find the domain for f(x)= 5x + ln(x^2+3x-4)

2. Solve: 4^x +12 = 16^x

log(n) is undefined for n <= 0, so we need

1a
2x-5 > 0
x > 5/2

1b
x^2+3x-4 > 0
x < -4 or x>1

#2
4^x + 12 = 4^2x
(4^x)^2 - 4^x - 12 = 0
(4^x - 4)(4^x + 3) = 0
4^x = 4 or -3
x = 1