Can log give negative values?

1. You can’t take the logarithm of a negative number or of zero.

Can a logarithmic equation have a negative number as a solution?

Logarithms cannot have non-positive arguments (that is, arguments which are negative or zero), but quadratics and other equations can have negative solutions. Each log in the equation had the same base, and each side of the log equation ended up with the value, so the solution “checks”.

How do you find the log of a negative number?

In particular, the logarithm of a negative real number x can then be calculated as log(x)=log(|x|eiπ)=log(|x|)+log(eiπ)=log(|x|)+iπ. for all k∈Z. Therefore, the complex logarithm is only defined up to multiples of 2πi !

Why log is not defined for negative values?

The logarithm is the “inverse function” of the exponential function. For any real number , the exponential is always a positive real number. So, if is negative, there is no real number that we could call the logarithm of and have it satisfy the defining equation that works for positive reals.

What makes a log negative?

The natural logarithm function ln(x) is defined only for x>0. So the natural logarithm of a negative number is undefined. The complex logarithmic function Log(z) is defined for negative numbers too.

What does negative logarithm mean?

A negative log is defined as the number of times required that 1 must be divided by the base in order to achieve the log number. So, -Log2(. 5) = 1.

Can the domain of a log function be negative?

The function y=log2x has the domain of set of positive real numbers and the range of set of real numbers. Note that the logarithmic functionis not defined for negative numbers or for zero. The graph of the function approaches the y -axis as x tends to ∞ , but never touches it.

What does a negative log mean?

A negative logarithm means how many times to divide by the number. We can have just one divide: Example: What is log8(0.125)? Well, 1 ÷ 8 = 0.125, So log8(0.125) = −1.

How do I get rid of negative log?

To rid an equation of logarithms, raise both sides to the same exponent as the base of the logarithms.

What is negative natural log?

Natural Logarithm of Negative Number What is the natural logarithm of a negative number? So the natural logarithm of a negative number is undefined. ln(x) is undefined for x ≤ 0. The complex logarithmic function Log(z) is defined for negative numbers too.