Rewrite as the Sum of Two or More Logarithms Using $\log _ { 4 }$

question 68

Multiple Choice

Rewrite as the sum of two or more logarithms using the product rule for logarithms. Assume all variables represent
positive real numbers.
- $\log _ { 4 }$ (xy)

• A) \(\log _ { 2 } x + \log _ { 2 } y\)
• B) \(\log _ { 4 } x - \log _ { 4 } y\)
• C) \(\log _ { 4 } x + \log _ { 4 } y\)
• D) \(\log _ { 2 } x - \log _ { 2 } y\)

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Definitions:

Continental Crust

The layer of igneous, sedimentary, and metamorphic rocks that forms the continents and continental shelves, characterized by its thickness and composition distinct from oceanic crust.

Mafic Basalt

A type of basaltic rock that is rich in magnesium and iron, characterized by its dark color and low silica content.

Decompression Melting

The melting of rock due to a decrease in pressure as it rises towards the Earth's surface, a common mechanism at mid-ocean ridges and mantle plumes.

Mantle-Derived Magmas

Magmas that originate from the partial melting of the Earth's mantle, often rich in magnesium and iron.