Question

Resolva a equação exponencial 7/3 * 2 ^2x - 1 = 13

Answer 1

Resposta:

x = 1.73902

Explicação passo-a-passo:

$\frac{7}{3}\cdot 2^{2x-1}=13\\\\3\cdot \frac{7}{3}2^{2x-1}=13\cdot \:3\\\\3\cdot \frac{7}{3}2^{2x-1}=13\cdot \:3\\\\\frac{7\cdot \:2^{2x-1}}{7}=\frac{39}{7}\\\\2^{2x-1}=\frac{39}{7}\\\\\left(2x-1\right)\ln \left(2\right)=\ln \left(\frac{39}{7}\right)\\\\x=\frac{\ln \left(\frac{78}{7}\right)}{2\ln \left(2\right)}\\\\x=1.73902$