The given logarithmic expression 2log(x+3) + 3log(x-7) - 5log(x-2) - log(x²) can be written as single logarithm as log [(x+3)²(x-7)³] / [(x-2)⁵(x)²].
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
2log(x+3) + 3log(x-7) - 5log(x-2) - log(x²)
= log(x+3)² + log(x-7)³ - log(x-2)⁵ - log(x)²
[tex]= log \dfrac{(x+3)^2(x-7)^3}{(x-2)^3(x)^2}[/tex]
Hence, the given logarithmic expression 2log(x+3) + 3log(x-7) - 5log(x-2) - log(x²) can be written as single logarithm as log [(x+3)²(x-7)³] / [(x-2)⁵(x)²].
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