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To convert the given equation \( y = 10^{6x} \) into its equivalent logarithmic form, we use the definition of the logarithm function.

The logarithm form of the equation \( y = 10^{6x} \) is:
\[ \log_{10}(y) = 6x \]

So, the equivalent logarithmic form of the equation \( y = 10^{6x} \) is:
\[ \log_{10}(y) = 6x \]

Do you want more details or have any questions?

Here are 5 questions you might want to ask:
1. How do I solve logarithmic equations?
2. What are the properties of logarithms?
3. How do you convert from logarithmic form to exponential form?
4. Can you provide more examples of converting between logarithmic and exponential forms?
5. How do logarithms apply in real-world scenarios?

**Tip:** Remember that the logarithm base \( b \) of a number \( y \) is the exponent \( x \) by which \( b \) must be raised to produce \( y \): \( \log_b(y) = x \).

Learn how to convert the exponential equation y = 10^(6x) to its equivalent logarithmic form, \( \log_{10}(y) = 6x \). This problem covers key concepts in logarithms and exponential functions, suitable for Grades 10-12 students.

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