3 power 4 × 9 power 2 = 9 power x... find the value of x

1.	3 power 4 × 9 power 2 = 9 power x... find the value of x
Answer» $\Large \fbox \red {Question \: :}$ ${3}^{4} \times {9}^{2} = {9}^{x}$ Find the VALUE of x. $\Large \fbox \red {Answer \: :}$ ${3}^{4} \times {9}^{2} = {9}^{x}$ ${3}^{4} \times ({3}^{2} ) {}^{2} = ({3}^{2} ) {}^{x}$ ${3}^{4} \times {3}^{4} = {3}^{2x}$ Put the POWERS EQUIVALENT since the bases are same. $4 \times 4 = 2x$ $16 = 2x$ $x = \frac{16}{2}$ $x = <klux>8</klux>$ $\implies$ So, the value of x is 8. _____________________ $\Large \mathcal \pink {HOPE \: IT \: HELPS}$ ❤️ $\huge \green {Brainliest \: please}$ ✌️

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