Write as the Sum or Difference of Logarithms and Fully $\ln \sqrt [ 8 ] { \frac { e ^ { 7 } } { x ^ { 4 } + y } }$

question 116

Multiple Choice

Write as the sum or difference of logarithms and fully simplify, if possible. Assume the variable
represents a positive real number.
- $\ln \sqrt [ 8 ] { \frac { e ^ { 7 } } { x ^ { 4 } + y } }$

• A) \(\frac { 7 } { 8 } \ln e - \frac { 1 } { 8 } \ln \left( x ^ { 4 } + y \right)\)
• B) \(\frac { 7 } { 8 } - \frac { 4 } { 8 } \ln x + \frac { 1 } { 8 } \ln y\)
• C) \(\frac { 7 } { 8 } - \frac { 1 } { 8 } \ln \left( x ^ { 4 } + y \right)\)
• D) \(\frac { 7 } { 8 } + \frac { 1 } { 8 } \ln \left( x ^ { 4 } + y \right)\)

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Definitions:

DNA Sequencing

Procedure by which the sequence of nucleotides in DNA is determined.

Sanger

Refers to a method developed by Frederick Sanger for determining the sequence of nucleotide bases in DNA.

RNA Interference

A biological mechanism where RNA molecules suppress gene expression or translation by neutralizing specific mRNA molecules.

Protein-Coding Gene

A gene that contains the instructions for synthesizing a protein, with its sequence of nucleotides determining the sequence of amino acids in the protein.