Question

find the value of x with full steps​

Answer 1

Step-by-step explanation:

$\frac{ {3}^{4} \times {3}^{2x} }{ {3}^{3} } = 1$

$\frac{ {3}^{4 + 2x } }{ {3}^{3} } = 1$

${3}^{4 + 2x - 3} = 1$

${3}^{1 + 2x} = 1$

${3}^{1 + 2x} = {3}^{0}$

As bases are equal so power should be equal

$1 + 2x = 0$

$2x = - 1$

$x = \frac{ - 1}{2}$

Answer 2

$81 \times 3 {}^{2x} \div 3 {}^{4} = 1 \\ = 3 {}^{4 + 2x} = 3 {}^{3} \\ 4 + 2x = 3 \\ 2x = - 1 \\ x = - 0.5 \: ans$