log₅(-25) is undefined
- Logarithms are another notation for exponents in mathematics. The logarithm of a number whose base is equal to another number.
- A logarithm is the reciprocal of a power. For example, if 10² = 100 then log₁₀ 100 = 2.
- The natural logarithm is called the base e logarithm. The natural logarithm is represented by ln or loge. where 'e' represents Euler's constant, which is approximately equal to 2.71828.
- For example, the natural logarithm of 78 is written ln 78. The natural logarithm determines how much "e" must be multiplied to get the desired output.
Since the logarithmic function y = logₐ(x) is the inverse of the exponential function,
As the base is positive so x must also be positive
The logarithm of the real base of negative numbers is undefined.
Hence, log₅(-25) is undefined
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