I would like to know how to find the inverse of a logarithmic function including these 2 following problems I dont understand.
y=log base 4 to the 16x

Question

I would like to know how to find the inverse of a logarithmic function including these 2 following problems I dont understand.
y=log base 4 to the 16x

jessicaloraine · Answer

will give medal for great explanation

qwertty123 · Answer

log   16x
    4
= log    x+log    16
         4           4
= log     x+2
         4

qwertty123 · Answer

It's not an equation, so there's nothing to solve. It can be rearranged.

qwertty123 · Answer

@peachpi You look like you are very smart! You can explain better then me.

anonymous · Answer

To find an inverse function you have to 1)Swap y and x, and 2) Solve for the "new" y.

$$y = \log_{4} 16x$$
Swap
$$x=\log_{4} 16y$$
To solve for y, you need to rewrite the log equation as an exponential equation. Do you know how to do that?

jessicaloraine · Answer

No could you help me with that too?

anonymous · Answer

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