Rewrite the Expression as the Sum And/or Difference of Logarithms $\log _ { 8 } \frac { \sqrt { 13 } } { 7 }$

question 129

Multiple Choice

Rewrite the expression as the sum and/or difference of logarithms, without using exponents. Simplify if possible.
- $\log _ { 8 } \frac { \sqrt { 13 } } { 7 }$

• A) \(\log _ { 4 } \sqrt { 13 } - \log _ { 4 } 7\)
• B) \(\frac { 1 } { 2 } \log _ { 8 } 13 - \log _ { 8 } 7\)
• C) \(\log _ { 8 } 7 - \log _ { 8 } \sqrt { 13 }\)
• D) \(\log _ { 8 } \sqrt { 13 } + \log _ { 8 } 7\)

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Definitions:

Angular Unconformity

A geological feature where tilted or folded sedimentary rocks are overlain by younger, more flat-lying strata, indicating episodes of deformation and erosion.

Nonconformity

An unconformity in which the older rocks below the unconformity are not layered.

Geologic Relations

The study and understanding of how different geological features and processes are related or connected to each other.

Oldest Unit

This term refers to the earliest or most ancient geological formation or stratum in a given sequence.