How do you find the inverse of #y=log_3 (4x)#?
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To find the inverse of ( y = \log_3(4x) ), we first swap the roles of ( x ) and ( y ) and then solve for ( y ).

Swap ( x ) and ( y ): [ x = \log_3(4y) ]

Rewrite in exponential form: [ 3^x = 4y ]

Solve for ( y ): [ y = \frac{3^x}{4} ]
So, the inverse of ( y = \log_3(4x) ) is ( y = \frac{3^x}{4} ).
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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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