what is the value of x in the equation,(9^x)(3^4)=3^10?

We can solve it in this way

$$\begin{array}{lcl}
9^x 3^4 = 3^{10}\\
(3^2)^x 3^4 = 3^{10}\\
3^{2x} 3^4 = 3^{10}\\
3^{2x+4} = 3^{10}\\
2x+4 = 10\\
2x = 6\\
x = 3\\
\end{array}$$

If you're unsure about some of the rules I applied, look at this page http://www.rapidtables.com/math/number/exponent.htm.

 

Reinout

Hi Reinout.,

I like that rapid tables page. 

I have only used the rapid tables site a few times - maybe I should keep it in mind more :)