5 is the base
y=log5x
y=-log5x
y=log5(-x)
y=-log5(-x)
y=log5x
y=-log5x
y=log5(-x)
y=-log5(-x)
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y=log5x: Domain x>0 Range y>0
y=-log5x: Domain x>0 Range y<0
y=log5(-x): Domain x<0 Range y>0
y=-log5(-x): Domain x<0 Range y<0
y=-log5x: Domain x>0 Range y<0
y=log5(-x): Domain x<0 Range y>0
y=-log5(-x): Domain x<0 Range y<0
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The question is asking you to connect the idea of domain and range with the laws concerning how you're allowed to use logarithms.
Remember, you can only take the logarithm of a number that's greater than 0. So for the first problem, the domain is x > 0.
The range is from negative infinity to positive infinity.
Pay attention to signs. They don't really effect range in this particular problem, but they're important to domain. The domain of log5 has to do with everything that's inside its parentheses.
Remember, you can only take the logarithm of a number that's greater than 0. So for the first problem, the domain is x > 0.
The range is from negative infinity to positive infinity.
Pay attention to signs. They don't really effect range in this particular problem, but they're important to domain. The domain of log5 has to do with everything that's inside its parentheses.