#1**+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

reinout-g Mar 25, 2015

#1**+10 **

Best Answer

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

reinout-g Mar 25, 2015