Answer:
The simplified expression is 2x + 1
Step-by-step explanation:
We are given the following in the question:

We have to simplify this expression.
The logarithmic function is the inverse of the exponential function. Thus, we can write

Thus, the simplified expression is 2x + 1
Answer:
C. x < 5
Step-by-step explanation:
12x < 60
x < 5
Answer:
x = 15
Therefore, the length and width are 31 and 47.
Step-by-step explanation:
Perimeter = (2x + 1) + (2x + 1) + (3x + 2) + (3x + 2) = 156
Simplified,
10x + 6 = 156
Subtract 6 from both sides, then divide by 10.
10x = 150
x = 15
To find the length and width, substitute 15 (the value of x) into the individual equations.
2(15) + 1 = 31
3(15) + 2 = 47
I think 1 is the only common factor of both 0.20 and 215 but I'm not 100% certain