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

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747
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what is the value of x in the equation,(9^x)(3^4)=3^10?

Mar 25, 2015

#1
+2353
+10

We can solve it in this way

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

Reinout

Mar 25, 2015

#1
+2353
+10

We can solve it in this way

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

Reinout

reinout-g Mar 25, 2015
#2
+117762
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