Help t-t

function g(x) = 200(1.03)2x. Demonstrate the steps to convert g(x) into an equivalent function with only x as the exponent

Question

Help t-t

  function g(x) = 200(1.03)2x. Demonstrate the steps to convert g(x) into an equivalent function with only x as the exponent

naga447 · Answer

I will give a medal to first person who helps

anonymous · Answer

oooh oooh i know!!

anonymous · Answer

$(1.03)^{2x}=[(1.03)^2]^x$ 
your job is to find $(1.03)^2$with a calculator and use that as the base instead of $1.03$

naga447 · Answer

So I should just take $$1.03^x $$ and minus it from both sides?

anonymous · Answer

no 
i guess my answer is not clear 
let me try again

anonymous · Answer

although i really don't know another way to put it
compute $(1.03)^2$ and use that as the base

naga447 · Answer

Oh I think that I understand 
I take [(1.03)^2) and simplify it 1.0609 then use that as the base.
Sorry I didn't get it at first :]

anonymous · Answer

yes that is it
you should get 
$$g(x)=2000(1.0609)^x$$ 
what you are using is a law of exponents that says $$(b^n)^m=b^{mn}$$ but going from the right
$$(1.03)^{2x}$$ to the left $$((1.03)^2)^x$$

naga447 · Answer

Okay thank you!!! 
Do you think you could help me with the second part of the question?

naga447 · Answer

never mind 
Thanks again!