Question

2log⁶ x + 5log⁶ y

a) log⁶(x²) + log⁶(y⁵)
b) log⁶(x⁵) + log⁶(y²)
c) log⁶(x¹0) + log⁶(y²5)
d) log⁶(x²5) + log⁶(y¹0)

Answer 1

The expression 2log⁶ x + 5log⁶ y simplifies to log⁶(x²) + log⁶(y⁵).

Step-by-step explanation:

The given expression is 2log⁶ x + 5log⁶ y. To simplify this expression, we can use the property of logarithms that states the logarithm of a product is the sum of the logarithms of the individual factors. Using this property, the expression can be rewritten as log⁶(x²) + log⁶(y⁵).

Therefore, the correct option is a) log⁶(x²) + log⁶(y⁵).