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## anonymous one year ago What is the inverse function of y=4*(9)^x

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1. anonymous

That y is equal to four times nine to the power of x

2. freckles

Have you tried solving for x yet?

3. freckles

you could first put it in this form: $p=a^x \text{ then rewrite as } \log_a(p)=x$

4. freckles

that is you divide both sides by 4 first you will have that desired form I mentioned .

5. anonymous

I am lost I don't know how to do this

6. anonymous

yo freckles log is too advanced original question is y=4*(9)^x inverse, flip the x and y x = 4*(9)^y solve for x

7. anonymous

?

8. anonymous

sorry i meant solve for y

9. anonymous
10. anonymous

I don't know how

11. anonymous

That link shows fractions my problem doesn't have fraction

12. freckles

$\text{ In general, for something like: } y=b(a)^x \\ \text{ You can solve for } x \text{ by first doing } \\ \text{ division of } b \text{ on both sides } \\ \frac{y}{b}=a^x \\ \text{ now recall } \frac{y}{b}=a^x \text{ is equivalent to } \log_a(\frac{y}{b})=x$

13. freckles

just using what I had above and replacing my p with y/b

14. anonymous

?

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