taiwan-gsat 2021 Q4

taiwan-gsat · Other · ast__math-b 8 marks Laws of Logarithms Compare or Order Logarithmic Values

Let $a = \log _ { 2 } 8 , ~ b = \log _ { 3 } 1 , ~ c = \log _ { 0.5 } 8$. Select the correct options.
(1) $b = 0$
(2) $a + b + c > 0$
(3) $a > b > c$
(4) $a ^ { 2 } > b ^ { 2 } > c ^ { 2 }$
(5) $2 ^ { a } > 3 ^ { b } > \left( \frac { 1 } { 2 } \right) ^ { c }$

Let $a = \log _ { 2 } 8 , ~ b = \log _ { 3 } 1 , ~ c = \log _ { 0.5 } 8$. Select the correct options.\\
(1) $b = 0$\\
(2) $a + b + c > 0$\\
(3) $a > b > c$\\
(4) $a ^ { 2 } > b ^ { 2 } > c ^ { 2 }$\\
(5) $2 ^ { a } > 3 ^ { b } > \left( \frac { 1 } { 2 } \right) ^ { c }$

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