Use Properties of Logarithms to Condense the Logarithmic Expression $3 \log _ { 6 } x + 5 \log _ { 6 } ( x - 6 )$

question 25

Multiple Choice

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm
whose coefficient is 1. Where possible, evaluate logarithmic expressions.
- $3 \log _ { 6 } x + 5 \log _ { 6 } ( x - 6 )$

• A) \(\log _ { 6 } x ^ { 3 } ( x - 6 ) ^ { 5 }\)
• B) \(\log _ { 6 } x ( x - 6 ) 15\)
• C) \(15 \log _ { 6 } x ( x - 6 )\)
• D) \(\log _ { 6 } x ( x - 6 )\)

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Definitions:

Metamorphosis

A profound change in form from one stage to the next in the life history of an organism, as from caterpillar to butterfly.

Larva

The immature, wingless, and often worm-like stage in the life cycle of insects, before they transform into adults.

Pupa

A transitional stage of a developing insect, after larva and before adulthood, during which it undergoes transformation.

Cocoon

A protective casing spun by the larvae of many insects, inside which they undergo metamorphosis into their adult form.