Problem

\[
-4 \cdot 3^{6 w}=-1750
\]
What is the solution of the equation?

Answer

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Hide Steps

Answer

\(w=\frac{\log_3(\frac{1750}{4})}{6}\)

Steps

Step 1 ：\(-4 \cdot 3^{6 w}=-1750\)

Step 2 ：\(3^{6 w} = \frac{1750}{4}\)

Step 3 ：\(6 w = \log_3(\frac{1750}{4})\)

Step 4 ：\(w=\frac{\log_3(\frac{1750}{4})}{6}\)

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