How do you find the inverse of #y=log_3 (4x)#?

Answer 1

#y=3^x/4#

Switch #x# and #y#.
#x=log_3(4y)#
Solve for #y#.
#3^x=3^(log_3(4y))#
#3^x=4y#
#y=3^x/4#
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Answer 2

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

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

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

  3. 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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Answer from HIX Tutor

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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