Solve for x. Write answer to three decimal places.
(1000)(1.05)^3x = 3000.

Will award medal!!!!

Question

Solve for x. Write answer to three decimal places.
(1000)(1.05)^3x = 3000.

Will award medal!!!!

anonymous · Answer

x=2.5915 soved for X now you have move decimal not sure?????

♪chibiterasu · Answer

@binks Please don't answer questions if you are not going to guide the asker through it, that doesn't help them learn. Now let's see:

We have (1000(1.05) which means we multiply them, so what do we get when we multiply 1000 by 1.05?

♪chibiterasu · Answer

Do do do do, do do do do, do do do do . . . DING!

The product of said numbers is 1050

Now we have 1050^3x = 3000

anonymous · Answer

ok

♪chibiterasu · Answer

Hm, I just noticed that 3x is raised . . .

anonymous · Answer

yes

♪chibiterasu · Answer

Well I'm not so sure about the 3x but I assume you meant this: $$(1000)(1.05)^{3x} = 3000$$

anonymous · Answer

yes that is what i meant

anonymous · Answer

sorry I just wasn't sure aout her question. that's why I asked

♪chibiterasu · Answer

Well please don't give straight answers, this is Open "Study". We'd rather you guide people through their questions.

anonymous · Answer

:)

anonymous · Answer

can someone explain how to get the answer and show the final answer?

♪chibiterasu · Answer

@binks apparently knows the answer, so he should be able to help you :3

anonymous · Answer

ok

anonymous · Answer

actually 2.5915 is incorrect. You will log both sides. 3xLog 1.05=Log3. Then you will divide both sides by Log 1.05 ... 3x(Log1.05/Log1.05)=Log3/Log1.05.  this will simplify to 3x=Log3/Log1.05. Then use your calculator to simplify down to x=7.506