Question

Se log x + log x² + log x³ + log $x^{4}$ = -20, o valor de x é ....

Answer 1

$\Resolu\c{c}\~ao \to \left\{\begin{array}{ccc}log\ x+log\ x^2+log\ x^3+log\ x^4=-20\\\\log\ (x*x^2*x^3*x^4) = -20\\\\log\ x^{10} = -20\\\\10^{-20} = x^{10}\\\\x = \sqrt[10]{10^{-20}}\\\\x = 10^{ \frac{-20}{10} }\\\\\boxed{\boxed{x =10^{-2}}} \end{array}\right$


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