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Home » Take natural log: \( \ln 2 = 0.03t \) - 500apps

Take natural log: \( \ln 2 = 0.03t \) - 500apps

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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x = \frac{3 \pm \sqrt{9 - 8}}{4} = \frac{3 \pm 1}{4} \Rightarrow x = 1...
Now solve for $z$:
$\sin z = 1 \Rightarrow z = 90^\circ$
$\sin z = \frac{1}{2} \Rightarrow z = 30^\circ, 150^\circ$
Thus, the solutions are:
\boxed{30^\circ, 90^\circ, 150^\circ}
Question: Find the value of $x$ so that the vectors $\begin{pmatrix} 2...
Two vectors are orthogonal if their dot product is zero:
\begin{pmatrix} 2 \\ x \\ 3 \end{pmatrix} \cdot \begin{pmatrix} x \\ -...
Solving:

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