Questions: Find the domain of y=log(5+2x).

Find the domain of y=log(5+2x).
Transcript text: Find the domain of $y=\log (5+2 x)$.
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the Argument of the Logarithm

The argument of the logarithm is given by \(b + mx\). In this case, it is \( 5 + 2x\).

Step 2: Set the Argument Greater Than Zero

For the logarithm to be defined, its argument must be greater than zero. Therefore, we set \( 5 + 2x > 0\).

Step 3: Solve the Inequality for \(x\)

Since \(m > 0\), the solution to the inequality \( 5 + 2x > 0\) is \(x > -2.5\).

Final Answer: The domain of \(y\) is \(x > -2.5\).

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
A jar contains 4 red marbles numbered 1 to 4, 8 blue marbles numbered 1 to 8, and 12 white marbles numbered 1 to 12. A marble is drawn at random from the jar. Find the probability of the given event, Write your answers as integers or reduced fractions. (a) The marble is red. (b) The marble is not red. (c) The marble has the number 3 written on it. (d) The marble is blue with the number 1 written on it. (e) The marble has the number 18 written on it.
failedAnswered
How does conduction transport heat through a steel rod that is placed in a fire? A. Energy spreads from one end of the rod to the other through molecular collisions. B. Hot steel molecules move down the molecular matrix toward the cool end of the rod. C. Waves of electromagnetic energy travel down the steel rod from one end to the other. D. Higher velocities of warmer steel molecules cause them to travel from one end to the other.
failedAnswered
UNIT 2-CHALLENGE 2.2: Loops What is wrong with the following code segment if the numbers from 1 to 10 are meant to be outputs? ``` int num = 1; while (num > 0) num = num + 1; System.out.println(num); ``` a) The while loop is an infinite loop and will produce an error. b) Nothing is printed in the while loop. c) The variable should be initialized to 0. d) The while expression should be evaluated with <
failedAnswered
Multiple Choice Question The deficiency of which mineral during pregnancy can result in the birth of a child with cretinism? calcium zinc iron iodine
failedAnswered
Question 3 of 5 PREVIOUS Creatinine Atovastatin Atropine Digoxin A nurse is reviewing a client's medication administration record. The nurse should identify that which of the following medications has the CONTINUE Time Elapsed: 00:00:21 Pause Remaining: 00:50:00 PAUSE