Use properties of logarithms to evaluate the expression.
-$1000 ^ { \log _ { 10 } 8 }$
A) $10 ^ { 24 }$
B) 512
C) 24
D) $\log 512$

Name: Use properties of logarithms to evaluate the expression. -$1000 ^ { \log _ { 10 } 8 }$ A) $10 ^ { 24 }$ B) 512 C) 24 D) $\log 512$
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Quizplus · Accepted Answer

The expression can be simplified using the property of logarithms $a^{ \log_a x } = x$. Here, $a = 10$ and $x = 8$, so $1000^{\log_{10} 8} = 10^{3 \log_{10} 8} = 10^{\log_{10} 8^3} = 8^3 = 512$.

Use Properties of Logarithms to Evaluate the Expression 1000log⁡1081000 ^ { \log _ { 10 } 8 }1000log10​8

Use Properties of Logarithms to Evaluate the Expression $1000 ^ { \log _ { 10 } 8 }$