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Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.
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Economist Amartya Sen
An Indian economist and philosopher, noted for his contributions to welfare economics, social choice theory, and for his work on famine, human development theory, and the underlying mechanisms of poverty.
Famine
Famine is a severe shortage of food, often due to disaster, war, or economic failure, leading to widespread hunger and malnutrition.
Unequal Access
A situation where different groups or individuals have varying levels of access to resources, information, or opportunities, often leading to disparities and inequality.
Sex Ratio
A demographic measure indicating the number of males for every 100 females in a population.
Q5: <span class="ql-formula" data-value="\log 10,000"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>log</mi><mo></mo><mn>10</mn><mo
Q53: <span class="ql-formula" data-value="\left[ \begin{array} { l l
Q63: The volume <span class="ql-formula" data-value="\mathrm
Q79: <span class="ql-formula" data-value="\begin{aligned}5 x + 2 y
Q85: <span class="ql-formula" data-value="( x - 4 )
Q98: (1, 2) <img src="https://d2lvgg3v3hfg70.cloudfront.net/TB7897/.jpg" alt="(1, 2)
Q109: <span class="ql-formula" data-value="f(x)=\frac{x^{2}+4 x+3}{(x-1)^{2}}"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>f</mi><mo
Q118: <span class="ql-formula" data-value="\begin{array} { l } 4
Q136: <img src="https://d2lvgg3v3hfg70.cloudfront.net/TB7897/.jpg" alt=" A)function B)not a
Q242: <span class="ql-formula" data-value="f ( x ) =