Question

Resolva as seguintes equações exponenciais:
a) 3^x=81
b)7^x=1/49
c)(2/3)^x= 9/4
d) 2^x= ^3✓16

Answer 1

${3}^{x} = 81 = {3}^{4} \\ x = 4$

${7}^{x} = \dfrac{1}{49} = {7}^{ - 2} \\ \\ x = - 2.$

$\left( \dfrac{2}{3}\right) ^{x} = \dfrac{9}{4} = \left(\dfrac{2}{3}\right) ^{ - 2} \\ \\ x = - 2$

${2}^{x} = \sqrt[3]{16} \\ \\ {2}^{x} = {2}^{ \frac{4}{3} } \\ \\ x = \dfrac{4}{3}$