M(x) = log10(x / 0.001)

7.8 = log10(x / 0.001)

10^7.8 = x / 0.001

x = 10^7.8 * 0.001

what is the result

To solve the equation \( x = 10^{7.8} \times 0.001 \), we follow these steps:

1. Calculate \( 10^{7.8} \):
\[ 10^{7.8} \approx 63095734.448 \]

2. Multiply this result by \( 0.001 \):
\[ x = 63095734.448 \times 0.001 \]
\[ x \approx 63095.734448 \]

Therefore, the result is approximately \( 63095.734448 \).

Would you like more details or have any questions about this solution? Here are 5 numbered questions you might consider asking:

1. How do you use logarithm properties to simplify equations?
2. Can you explain the relationship between exponential and logarithmic functions?
3. How do you solve logarithmic equations with different bases?
4. What are the applications of logarithmic functions in different fields?
5. Can you provide more examples of solving logarithmic equations?

**Tip:** When solving logarithmic equations, always ensure the argument of the logarithm is positive, as logarithms are not defined for zero or negative numbers.

Learn how to solve the logarithmic equation log10(x / 0.001) = 7.8 with a step-by-step solution. This problem involves logarithmic functions and exponential functions, demonstrating the relationship between them. Suitable for high school students learning logarithms and exponential equations.

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