To determine which of the given logarithmic functions decreases from left to right, let's analyze the properties of each function:
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\( \log_{-2}(x) \): This function is defined for \( x > 0 \) and is undefined for bases that are negative, so this function does not exist in the traditional sense.
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\( \log_{2}(x) \): This is a logarithmic function with base 2. It is an increasing function, meaning that as \( x \) increases, \( \log_{2}(x) \) also increases.
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\( \log_{0.5}(x) \): This function has a base of 0.5, which is less than 1. Logarithmic functions with bases less than 1 decrease as \( x \) increases. Thus, \( \log_{0.5}(x) \) is a decreasing function.
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\( \ln(x) \): The natural logarithm, which has a base of \( e \) (approximately 2.718). This is also an increasing function.
Based on this analysis, the function that decreases from left to right is:
\( \log_{0.5}(x) \), as it is the only function among the options provided that decreases as \( x \) increases.