Why does log 1 have no solution?
The log function is used to undo raising something to a power. Just log() has a default base value of 10. or, if we take log(100), we get 2 because 10^2 = 100. So, if you think, “what power does 10 have to be raised to, to get -1”, you will get nothing.
Are logarithms always 1 zero?
It’s not a real number, because you can never get zero by raising anything to the power of anything else. 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.
Does log 100 exist give reason?
Because log 100 is just another number – so if you take a number away from itself you ALWAYS get zero.
What is the log value of 1?
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 |
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.
Why does log a equal 1?
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. 1 raised to any power is equal to 1.
How do you write 1 in logarithmic form?
The most commonly used logarithm functions are base 10 and base e. Common Logarithms Function- The logarithm function with base 10 is known as Common Logarithms Function….Log Table 1 to 10 for Log Base 10.
| Common Logarithm to a Number (log10 x) | Log Values |
|---|---|
| Log 1 | 0 |
| Log 2 | 0.3010 |
| Log 3 | 0.4771 |
| Log 4 | 0.6020 |
What does log100 mean?
A logarithm is the power to which a number must be raised in order to get some other number (see Section 3 of this Math Review for more about exponents). For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2. because. 102 = 100.
What is log100 2 exponential form?
Hence, the exponential form of $\log 100 = 2$ is equivalent to ${10^2} = 100$.
How to find the value of C = 2 in log10100?
So in the example you have log10100 = c ⇔ 10c = 100. Now you can easily find that c = 2, because 102 = 10 ⋅ 10 = 100. Keep in mind that when there is no base written, it is assumed to be a base of 10. Applying the rule of logx = 1, you have log10 = 1. Also, you can use the power rule. Index form and log form.
How many zeros are there in 10 -4 on the log scale?
The 1 has no zeros, so that’s 10 0. And a 0.0001 has four zeros and it’s negative, that’s why it’s a 10 -4. So the log scale doesn’t show numbers on a linear scale, but it does show the magnitudes in a linear fashion: 0, 1, 2, 3 etc.
Why is log 1 = 0?
The lower limit 1 is chosen because it is the most convenient. It follows from the above definition, I will provide three proofs to show why log 1 = 0 . We know that the zeroth power of any nonzero number is unity. Expressed symbolically, a° = 1 for all values of a. Taking logarithms, where the Riemann integration is from 1 to x.
What is the logarithm of 100?
The logarithm of a number is the exponent you raise above 10 to get that number. This is best seen by examples. log (100) = 2 (why? because 10 2 = 100)