Question

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

Answer 1

$\Large \fbox \red {Question \: :}$

${3}^{4} \times {9}^{2} = {9}^{x}$

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.

$4 \times 4 = 2x$

$16 = 2x$

$x = \frac{16}{2}$

$x = 8$

$\implies$ So, the value of x is 8.

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Answer 2

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