Write the expression as a sum of logs. Express powers as factors.
-$10^{0.7743}$
A) $5.947028$
B) $0.168151$
C) $0.461026$
D) $1.195171$

Question

Quizplus · Accepted Answer

The expression $10^{0.7743}$ can be rewritten using the logarithmic identity $b^x = y \Rightarrow \log_b(y) = x$, where $b = 10$, $x = 0.7743$, and $y$ is the value we're trying to find. Since the base of the logarithm is 10 (common logarithm), and we're given the exponent, we can directly calculate the value of $10^{0.7743}$ without converting it into a sum of logs. The calculation gives approximately 5.947028, which matches option A.

Write the Expression as a Sum of Logs 100.774310^{0.7743}100.7743 A) 5.9470285.9470285.947028 B) 0.1681510.1681510.168151

Write the Expression as a Sum of Logs $10^{0.7743}$ A) $5.947028$ B) $0.168151$