what is true about logarithms?

both characteristic and mantissa will always be positive

characteristic will always be positive but mantissa will always be negative

characteristic will always be negative but mantissa will always be positive

both mantissa and characteristic can be positive nad negative

true about logarithms is: both characteristic and mantissa will always be positive
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the characteristic of the logarithm of a number may be positive or negative but the mantissa is always positive.
Logarithms are always written with the decimal part positive.
∴ log 0.03 = -2 + a positive fraction
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the logarithm of a number is the exponent to which another fixed value, the base must be raised to produce that number. eg. the logarithm of 1000 to base 10 is 3, as 10 to the power 3 is 1000