# What is log to the power of 0?

What is log to the power of 0?

## What is log to the power of 0?

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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. 3.

## How do you get rid of exponents with logs?

When you have variables on both sides

1. Take the log of both sides.
2. Use the power rule to drop down both exponents.
3. Distribute the logs over the inside of the parentheses.
4. Isolate the variables on one side and move everything else to the other by adding or subtracting.

How do you simplify exponential expressions?

When you are simplifying exponential terms raised to another exponent, the way to simplify them is to multiply the exponents together. This will work with positive and negative exponents and can be shown by working out each exponent the long way.

Can a log scale start at 0?

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”.

### Why is log 0 not defined?

We know that the real logarithmic function logab is only defined for b>0. It is impossible to find the value of x, if ax = 0, i.e., 10x = 0, where x does not exist. So, the base 10 of logarithm of zero is not defined.

### How do you solve for 0 ex?

The function ex considered as a function of Real numbers has domain (−∞,∞) and range (0,∞) . So it can only take strictly positive values. When we consider ex as a function of Complex numbers, then we find it has domain C and range C\{0} . That is 0 is the only value that ex cannot take.

How do you get rid of exponents?

The way to remove the exponent on x is by raising both sides of the equation to a power that is the reciprocal of 5 4 \displaystyle \frac{5}{4} ​45​, which is 4 5 \displaystyle \frac{4}{5} ​54​.