Can logarithms have negative answers?

If you mean ln (x) = negative number, yes, they can.

If you mean ln (negative number) = y, no it's not possible. If you plot ln x, the plot is asymptotic to y-axis from the right (positive values of x only), therefore the plot will never reach x equal to zero nor the negative values.

hope that's clear ^^;

Okay, thank you!

No, logarithms cannot have negative answers. Logarithms are used to solve equations in the form of \(y = \log_b(x)\), where \(b\) is the base of the logarithm and \(x\) is the argument.

In this equation, the logarithm function asks the question: "What power do we need to raise \(b\) to, in order to get \(x\)?" In other words, it calculates the exponent to which \(b\) must be raised to give \(x\).

Since we are asking for an exponent, the answer will always be a positive number or zero. Negative numbers do not have real-number exponents that can be used to raise a base to produce a negative result.