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Which of the following is the same as 3logx?

  1. log3x

  2. logx3

  3. xlog3

  4. 3xlog

The correct answer is: log3x

Logarithms are used to represent the power to which a base must be raised to equal a given number. In this case, 3logx represents the power to which 3 must be raised to equal x. Out of the given choices, only option A, log3x, matches this explanation and is therefore the correct answer. Option B, logx3, would represent the power to which x must be raised to equal 3. Option C, xlog3, would represent x multiplied by the power to which 3 must be raised. Option D, 3xlog, is not a valid representation of a logarithm and is therefore incorrect.