Answer: (-∞, 3.5)
Step-by-step explanation:
Here we can use the relation:
Exp( Log(X)) = X
Now, we start with the equation:
log(x + 7) > log(3x)
Now we can apply the exponential function to both sides of the inequality to get:
Exp(log(x + 7)) > Exp(log(3x))
x + 7 > 3x
7 > 3x - x
7 > 2x
7/2 > x
3.5 > x
Then the solutions will be all the values of x smaller than 3.5, this set can be written as:
(-∞, 3.5)
