## anonymous one year ago If f(x)=log3 (x+1), what is f-1(2)

1. anonymous

3log(3)

2. anonymous

3. freckles

You found f(2) @asdfghjkl24562

4. freckles

solve for x $2=\log_3(x+1)$

5. anonymous

ohhhhhhh

6. Michele_Laino

hint: using the definition of logarithm, we can write: $\Large x + 1 = {3^y}$

7. carolinar7

Oh the logarithmic is the in the inverse of exponential functions, so all you have to do is cinvert it to an exponential function and substitute the velue

8. anonymous

You guys are amazing

9. carolinar7

$(2)+1=3^{y}$

10. Michele_Laino

thanks!

11. carolinar7

3=3$^{y}$

12. carolinar7

$3 = 3^{y}$

13. freckles

it's suppose to be $3^2=x+1$

14. carolinar7

no

15. freckles

$f^{-1}(2) =x \text{ implies } f(x)=2 \\ \text{ so we need to solve } 2=\log_3(x+1) \\ \text{ and converting to exponential form gives } \\ 3^2=x+1$

16. carolinar7

Oh ya