How do you solve these 2 inequalities? (Exponential function)
Ok so I'd like an explanation (for one or both) with the answer as well for these 2 problems, please.
1) #(1/4)^x# < #1/8#
2) #(1/4)^x# > #1/8#
Thanks so much!
Ok so I'd like an explanation (for one or both) with the answer as well for these 2 problems, please.
1)
2)
Thanks so much!
see below
reduce the fractions to powers of 2
=
now just use the reciprocal and negate the powers
therefore,
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To solve inequalities involving exponential functions, follow these general steps:
- Isolate the exponential term on one side of the inequality.
- Take the natural logarithm (ln) of both sides to eliminate the exponential.
- Solve the resulting inequality for the variable.
- Check if the solution is valid by ensuring that the original inequality holds true for the obtained solution.
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Sure, I'd be happy to help with exponential inequalities. Could you please provide the specific inequalities you'd like to solve?
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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