Why does log 1 have no solution?

Unless x=1, there is no solution, and when x=1 any power will do, so log11 is any number. For the same reason log0 doesn’t make sense because we can’t solve 0y=x unless x=0, and when x=0, any power will do, so log00 could be any number.

Is log base 1 defined?

So log a (base 1) is not defined. log of a with base b is the reciprocal of log of b with base a. Since log(1) = 0. Then log of a with base 1 would be dividing by zero which is undefined.

What is the value of log 1 by?

0
Log Value from 1 to 10

	Value of log
Log 1	0
Log 2	0.3010
Log 3	0.4771
Log 4	0.6020

What is 1 as a log?

Value of Log 1 to 10 for Log Base 10

Common Logarithm to a Number (log10 x)	Log Value
Log 1	0
Log 2	0.3010
Log 3	0.4771
Log 4	0.6020

What makes a log undefined?

2. log 0 is undefined. It’s not a real number, because you can never get zero by raising anything to the power of anything else. You can never reach zero, you can only approach it using an infinitely large and negative power.

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 is the value of log 1 with base 1?

The value of log 1 base 1 is 0 and son it is said to be undetermined.

What is the value of log 1 base 2?

Solution: (i) log 1 base 2 = log_{2} 1 = 0 . It is true for any base. i.e. \frac { log7}{log2}. It will be 2.80735492205760.

How do you write 1 as a log?

The logarithm of x=1 is the number y we should raise the base b to get 1. Then the base 10 logarithm of 1 is 0.

Why does log a 1 always equal to 0 for any valid base a?

log 1 = 0 means that the logarithm of 1 is always zero, no matter what the base of the logarithm is. This is because any number raised to 0 equals 1. Therefore, ln 1 = 0 also.

Why are logs of negative numbers undefined?

What is the logarithm of a negative number? Since the base b is positive (b>0), the base b raised to the power of y must be positive (by>0) for any real y. So the number x must be positive (x>0). The real base b logarithm of a negative number is undefined.

Can you log zero?

The logarithm of zero is not defined — its mathematically impossible to plot zero on a log scale. Instead of entering zero, you can enter a low value (say -10 on the log scale), and then use custom ticks to label the graph correctly (so it is labeled “0” rather than “-10”.

What is the difference between log and ln?

In math, the term log typically refers to a logarithmic function to the base of 10, while ln is the logarithmic function to the base of the constant e. Log is called a common logarithm, and ln is called a natural logarithm.

What is log of 0?

The natural log function of 0 is denoted by “log e 0”. It is also known as the log function of 0 to the base e. The representation of the natural log of 0 is ln (0). If, e x =0, there is no number to satisfy the equation when x equals to any value.