Evaluating Logarithmic Expressions Answers
The graph shows a logarithmic function f. What do f and the function g(x) = log6x have in common? Select all that apply.
What are the domain and range of the logarithmic function f(x) = log7x? Use the inverse function to justify your answers.
The domain is x > 0, and the range is all real numbers. The inverse function is f⁻¹(x) = 7ˣ, with domain all real numbers and range y > 0.
Which table represents the graph of a logarithmic function with both an x-and y-intercept?
Solve: log2(3x + 8) = 5Which is an equivalent equation?
M = log S S = [___]
1
An earthquake with a magnitude of about 2.0 or less is called a microearthquake. It is not usually felt. The intensity of an earthquake with a magnitude of 2 is how many times greater than the intensity of an a standard earthquake?
How many more times intense is an earthquake that measures 8 on the Richter scale than an earthquake that measures 5? Explain your answer.
A magnitude 8 earthquake is 1,000 times more intense than a magnitude 5 earthquake because 10^(8-5) = 10^3 = 1,000.
Evaluate: log1255
What happens to the value of f(x) = log4x as x approaches 0 from the right?
What happens to the value of f(x) = log4x as x approaches +∞?
Which is the graph of f(x) = log x + 3?
What is the hydrogen ion concentration of orange juice that has a pH of 1?
What is the domain of the function?all real numbers✔ x > 0x < 0
How can you use a point on the graph of f –1(x) = 9x to determine a point on the graph of f(x) = log9x?Switch the x- and y-coordinates.Use the opposites of the x- and y-coordinates.Use the reciprocals of the x- and y-coordinates.
(5, 1)(5, 5)(11, 1)(11, 5)
Check each item below that you included in your response.
Which equation represents the magnitude of an earthquake that is 100 times more intense than a standard earthquake?
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