Question

Find the value of log (-6)

Answer 1

Answer:

does not exist

Step-by-step explanation:

since log is not defined for -ve number

Answer 2

Answer:

The value of $log(-6)$ is undefined.

Step-by-step explanation:

• The exponential function $x = b^y$ , is the inverse function of $y = log_b(x)$

• Since the base $b$ is positive ($b > 0$), any real $y$ requires the base $b$ raised to the power of the $y$ to be positive ($b^y > 0$).

• As a result, $x$ must be greater than zero.

• A negative number's real base $b$ logarithm is undefined.

• Hence, $log_b(x)$ is undefined for $x\leq 0$

• It is impossible to take the logarithm of a negative or zero number. A positive number's logarithm could be negative or zero.

Logarithm:

The logarithm is exponentiation's opposite function in mathematics.

This indicates that the exponent to which a fixed number, base b, must be raised in order to create a specific number x, is represented by the logarithm of that number.