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9 8 3x 396 i need to know the steps to solve this using logarithms

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9*8^3x=396 I need to know the steps to solve this using logarithms

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Answer to a math question 9*8^3x=396 I need to know the steps to solve this using logarithms

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106 Answers

1. Divide both sides by 9:

8^{3x} = \frac{396}{9}

8^{3x} = 44

2. Take the logarithm of both sides:

\log(8^{3x}) = \log(44)

3. Apply the power rule for logarithms:

3x \cdot \log(8) = \log(44)

4. Solve for \( x \):

x = \frac{\log(44)}{3 \cdot \log(8)}

x≈0.6067

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