The expression as the logarithm of a single number or expression is log( x⁵.y/z⁶).
A logarithm is a multiplication-based mathematics notion.
The exponent that will result in a particular value is a logarithm.
An exponent or power with which a base must be increased in order to produce a particular number.
If bˣ = n, then x is the logarithm of n here to base b, which is expressed mathematically as x = logb n. For instance, 2³ = 8; hence, 3 is the base-2 logarithm of 8 or 3 = log₂ 8.
For the stated question;
= 5log x + 2logy - 6logz
Using the addition, division and power property.
log(m x n) = log m + log n
log(m/n) = log m - log n
= log x⁵ + logy² - logz⁶
= log( x⁵ ₓ y²) - logz⁶
= log( x⁵.y/z⁶)
Thus, the expression as the logarithm of a single number or expression is log( x⁵.y/z⁶).
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