$10^{62} / 10^{60}=100$. What is $\ln 10^{62} /$ In $10^{60}$ ? (Select the closest response.)
A) 100
B) 10
C) 4.6
D) $\mathbf{1 . 0}$

Question

Quizplus · Accepted Answer

The logarithm of a quotient is the difference of the logarithms, so $\ln 10^{62} /\ln 10^{60} = \ln(10^{62}/10^{60}) = \ln 10^2 = \ln 100$. Since $\ln 100$ is approximately 4.6, the division as presented in the question is incorrect. The correct interpretation should be $\ln(10^{62}/10^{60}) = \ln 10^2 = \ln 100$, which simplifies to 2 times $\ln 10$, and since $\ln 10$ is approximately 2.3, the answer is approximately 4.6. However, given the options and the likely misinterpretation of the question, the closest correct response based on the intended operation (division of logarithms) is 1.0, because the question seems to mistakenly present division where it likely meant to describe a different operation.

1062/1060=10010^{62} / 10^{60}=1001062/1060=100 What Is ln⁡1062/\ln 10^{62} /ln1062/ In 106010^{60}1060 ? (Select the Closest Response

$10^{62} / 10^{60}=100$ What Is $\ln 10^{62} /$ In $10^{60}$ ? (Select the Closest Response