My answer is D
Which of the following statements is true? (1 points)
Answer
An exponential function is the inverse of a logarithmic function.
The base of the logarithmic function f(x) = log5x is unknown.
The range of the logarithmic function f(x) = log5x is all real numbers less than zero.
The domain of the logarithmic function f(x) = log5x is all real numbers.
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OpenStudy (anonymous):
The domain of the logarithmic function f(x) = log5x is all real numbers.
OpenStudy (anonymous):
is this for a test
jimthompson5910 (jim_thompson5910):
can you plug in a negative number into f(x) = log(5, x) ?
OpenStudy (anonymous):
yes
jimthompson5910 (jim_thompson5910):
you can plug in x = -2 into f(x) = log(5, x) ?
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OpenStudy (anonymous):
oh wait, no you cant
OpenStudy (anonymous):
it has to be a positive, right?
jimthompson5910 (jim_thompson5910):
yes because it's only defined for positive numbers
jimthompson5910 (jim_thompson5910):
exactly
OpenStudy (anonymous):
okay
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jimthompson5910 (jim_thompson5910):
so that rules out D
OpenStudy (anonymous):
Right
OpenStudy (anonymous):
omg C is true!!!!!! C is true!!!!!!!!!!!!!1
jimthompson5910 (jim_thompson5910):
is it possible for the output of f(x) = log(5, x) to be a positive number?
OpenStudy (anonymous):
Yeah of course
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jimthompson5910 (jim_thompson5910):
so that rules out C
jimthompson5910 (jim_thompson5910):
because choice C says that you only get negative numbers as outputs
OpenStudy (anonymous):
Oh, I didn't see that okay umm let me keep checking
OpenStudy (anonymous):
it's def not b
jimthompson5910 (jim_thompson5910):
yes because the base is known (looks like 5)
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jimthompson5910 (jim_thompson5910):
so it's not unknown
OpenStudy (anonymous):
so its A!!!!!!!!!!!!!!!!!!!!!!!!!!
jimthompson5910 (jim_thompson5910):
yep
jimthompson5910 (jim_thompson5910):
and it turns out that exponential functions are indeed inverses of logarithmic functions
OpenStudy (anonymous):
yay while we did that, i finished twelve other questions on my own!!!!!!!!!!!!!
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