An expression is defined as a set of numbers, variables, and mathematical operations. The expression that is equivalent to log₅(x/4)² is 5log(x) - 5log(4).
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression log₅(x/4)² can be expressed as,
log₅(x/4)²
= 5log(x/4) {∵ log(aᵇ) = b log(a) }
=5[log(x) - log(4)]
= 5log(x) - 5log(4)
Hence, the expression that is equivalent to log₅(x/4)² is 5log(x) - 5log(4).
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