## iheartfood 2 years ago question is inside :)

1. iheartfood

|dw:1353813925701:dw|

2. iheartfood

A. 16 years B. 54 years C. 2.4 years D. 9 years

3. tkhunny

$$0.29\cdot(1.046)^{t} = 0.60$$ Solve for 't'. You will need logarithms.

4. iheartfood

how do i do that?

5. tkhunny

Introduce the logarithm $$\log\left(0.29\cdot(1.046)^{t}\right) = \log(0.60)$$ Now what?

6. iheartfood

idk.. but i think the answer is A. 16 years.. is that right?

7. tkhunny

"I think the answer is..." is not ever an acceptable response. In mathematics, you must prove it. Use the logarithm rules. There is a reason why we did that massive problem, before. $$\log(0.29) + t\cdot\log(1.046) = \log(0.60)$$ You need to see where ALL of this came from.

8. iheartfood

kk so what do i do now then?

9. tkhunny

Solve for 't'. You must be able to do this. This is why we invented notation. It will help you. Use the notation, and proper operations on that notation, to solve for 't'. Let's see what you get.

10. iheartfood

kk thanks!

11. tkhunny

Are you going to show us any work?