my question is below...

Question

I didn't understand what Arturo O. meant with his answer. could some body explain it in an easier way?

Here's my question again.

(Also, I'm in 7th grade!)

How do I express 10^5 as a power of 3?

Here's how Arturo O.'s answer was.

Set 10^5 equal to 3x and solve for x.
3x = 10^5
log(3x) = log(10^5)
x log3 = 5
x = 5 / log3
Then 3 to the power 5/log3 gives 10^5.

35/log3 = 10^5

Answer 1

Andrea,

 

You need to enter the answer correctly.  The exponentiation is missing.

 

3^x = 10⁵

 

The equation above expresses 10⁵ as a power of 3.  If you want to find the power, which is x in this equation, you can work with logarithms.  I suppose you have not worked with them in 7th grade, but that is the way to find x.  After all of the algebra is done, you get

 

x = 5 / log3

 

But if all you want is 10⁵ expressed as a power of 3, without the finding the power, then

 

10⁵ = 3^x