tmua 2019 Q11

tmua · Uk · paper1 1 marks Laws of Logarithms Solve a Logarithmic Equation
Find the sum of the real values of $x$ that satisfy the simultaneous equations:
$$\begin{aligned} \log_3(xy^2) &= 1 \\ (\log_3 x)(\log_3 y) &= -3 \end{aligned}$$
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Find the sum of the real values of $x$ that satisfy the simultaneous equations:

$$\begin{aligned}
\log_3(xy^2) &= 1 \\
(\log_3 x)(\log_3 y) &= -3
\end{aligned}$$