The error is at the step (3) , because the student has tried to prove the quotient rule of logarithms by using the property i.e., 'The quotient rule of logarithm' itself , i.e. ,by assuming the property does hold before proving it. So, the proof is fallacious.

The correct step (3) will be,

$\log_{b}(\frac {b^{x}}{b^{y}})$

= $\log_{b}(b^{x - y})$ [by using the laws of indices]

All other steps are correct.

5 0

3 years ago

A professional basketball player may be more than two feet taller than an olympic gymnast. how would their vertebra compare?

vovangra [49]

The <u>correct answer</u> is:

The basketball player's vertebrae may be bigger than the gymnast's.

Explanation:

There are several factors that influence height; for one, the length of the legs affects one's height.

Additionally, however, if someone has bigger vertebrae, then they would be taller than another person.

4 0

3 years ago

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