How do you solve #34e^x=1#?
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To solve the equation (3  4e^x = 1), follow these steps:

Add 1 to both sides of the equation: (3  4e^x + 1 = 1 + 1) (3  4e^x + 1 = 0)

Combine like terms: (4  4e^x = 0)

Subtract 4 from both sides of the equation: (4  4  4e^x = 0  4) (4e^x = 4)

Divide both sides of the equation by 4: (\frac{4e^x}{4} = \frac{4}{4}) (e^x = 1)

Take the natural logarithm (ln) of both sides: (\ln(e^x) = \ln(1)) (x = \ln(1))

Recall that (\ln(1) = 0), so the solution is: (x = 0)
Therefore, the solution to the equation (3  4e^x = 1) is (x = 0).
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When evaluating a onesided 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 onesided 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 onesided 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 onesided 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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