The justification of the third step in her proof of the property of logarithms is; 
; Power rule of exponents
<h3>What are properties of Logarithms?</h3>
From the full question, the second step stopped at;
Now, according to Power Rule for Exponents we know that (a^m)ⁿ = a^(m*n). That means that to raise a number with an exponent to a power, we will multiply the exponent times the power.
Thus, will give us using power rule of exponents
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A contributing factor to the increasing consumption of fast food is:
<h3>What are fast foods?</h3>
Fast foods are meals that are prepared by restaurants and eateries. They are ready-made so people do not have to wait long hours for their preparation.
Working parents no longer have time to prepare home-cooked meals and that is why the consumption of fast foods is on the rise.
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Believes that someday, the motivation for fighting would fade and survival will be the only thing that matters.
The sentence that most accurately captures the author's perspective on war is this one. We can infer from these sentences that the author believes that war eventually turns into a struggle for existence. Soldiers lose sight of the spirit of adventure they may have started with as they grow desperate to survive. More crucially, as time passes, the causes of the battle tend to lose significance.
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