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

 Mar 25, 2015

Best Answer 

 #1
avatar+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
 #1
avatar+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
avatar+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

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