+0

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

0
678
2

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

Mar 25, 2015

### Best Answer

#1
+2353
+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

Mar 25, 2015

### 2+0 Answers

#1
+2353
+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
#2
+115735
0

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 :)

Mar 26, 2015