Expand the Logarithmic Expression $\ln \left( \frac { z ^ { 6 } } { \sqrt [ 5 ] { x ^ { 4 } y ^ { 4 } } } \right)$

question 49

Multiple Choice

Expand the logarithmic expression $\ln \left( \frac { z ^ { 6 } } { \sqrt [ 5 ] { x ^ { 4 } y ^ { 4 } } } \right)$ . Assume all variable expressions represent positive real numbers.

• A) \(\ln ( 6 z - 20 x + 20 y )\)
• B) \(6 \ln z - \frac { 4 } { 5 } \ln x - \frac { 4 } { 5 } \ln y\)
• C) \(6 \ln z - 20 \ln x - 20 \ln y\)
• D) \(\ln \left( 6 z - \frac { 4 } { 5 } x - \frac { 4 } { 5 } y \right)\)
• E) \(6 \ln z - \frac { 4 } { 5 } \ln x + \frac { 4 } { 5 } \ln y\)

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Eyepiece

The lens or group of lenses in a telescope or microscope that is closest to the eye and through which the object is viewed.

Magnification

A process of enlarging the appearance of an object through optical instruments, like microscopes or telescopes, without altering its actual size.

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The fine adjustment knob is part of a microscope used for making small adjustments to the focus, allowing for clearer visualization of the specimen at high magnifications.

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A microscope lens typically with magnification of 40x to 100x, used for viewing fine details of a specimen.