Question

(raiz quadrada de 3) elevado a x=raiz de 81 elevado a 3 de fora do lado esquerdo

Answer 1

${( \sqrt{3} )}^{x} = { (\sqrt{81}) }^{3} \\ {3}^{ \frac{x}{2} } = {( \sqrt{ {3}^{4} }) }^{3} \\ {3}^{ \frac{x}{2} } = { ({3}^{ \frac{4}{2} }) }^{3} \\ {3}^{ \frac{x}{2} } = {3}^{ \frac{12}{2} }$

${3}^{ \frac{x}{2} } = {3}^{6} \\ \frac{x}{2} = 6 \\ x = 6.2 \\ x = 12$