Evaluate or simplify the expression without using a calculator.
-$7 \left( 10 ^ { \log 5.6 } \right)$
A) $39.2$
B) 392
C) $3.92$
D) $12.0594$

Name: Evaluate or simplify the expression without using a calculator. -$7 \left( 10 ^ { \log 5.6 } \right)$ A) $39.2$ B) 392 C) $3.92$ D) $12.0594$
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Question

Quizplus · Accepted Answer

The expression simplifies using the property of logarithms that $a \cdot 10^{\log_b{c}} = a \cdot c$ when $b=10$. Thus, $7 \cdot 10^{\log{5.6}} = 7 \cdot 5.6 = 39.2$.

Evaluate or Simplify the Expression Without Using a Calculator 7(10log⁡5.6)7 \left( 10 ^ { \log 5.6 } \right)7(10log5.6)

Evaluate or Simplify the Expression Without Using a Calculator $7 \left( 10 ^ { \log 5.6 } \right)$