Solve the equation. Show your work.

Question

anonymous · Answer

$$16^{3} = 4^{x}$$

cgreenwade2000 · Answer

This is an easy one. How else can we rewrite 16 with a base of 4.

cgreenwade2000 · Answer

....... 16=4^2

So, we can use that to replace16.

anonymous · Answer

@cgreenwade2000 can you show the work please

cgreenwade2000 · Answer

I haven't really done any yet. 

16= 4^2 we know that.

anonymous · Answer

I think it got it
DOes this look right
163=4x

divide both sides of the equation by 4 and you get:

163/4=x

now divide 163 by 4 and you get:

40 3/4 or 40.75 = x

cgreenwade2000 · Answer

So, in the original problem, just substitute 4^2 for 16.

(4^2)^3= 4^x

cgreenwade2000 · Answer

That is not correct. Also, 16^3 does not = 163

anonymous · Answer

Where does it say that @cgreenwade2000

anonymous · Answer

163 at the beginning is meaning to the second power

anonymous · Answer

third power***

cgreenwade2000 · Answer

Your question says 16^3 = 4^x 

So, we break down 16 to the same base of 4. 

So (4^2)^3 = 4^x

from there we distribute

4^6= 4^x

Then the exponents need to match for them to be equal so x=6