Rewrite the logarithm as a ratio of common logarithms.
Log_2.7 x

Question

Rewrite the logarithm as a ratio of common logarithms. Log_2.7 x B) E)None of these

Quizplus · Accepted Answer

Using the properties of logarithms, we can rewrite the given logarithm as: log_2.7 x = log_{2.7 - log} x Since we want to express this logarithm as a ratio of common logarithms, we can use the fact that: logS1U1B a = log a / logS1U1B 10 Therefore: log_{2.7 - log} x = log 12.7 / logS1U1B 10 - log x / logS1U1B 10 = (log 12.7 / log 10) / (logS1U1B 10) - (log x / log 10) / (logS1U1B 10) = (log 12.7 / log 10) / (log 10 / log 10S1U1B ) - (log x / log 10) / (log 10 / log 10S1U1B ) = (log 12.7 / log 10) x (log 10S1U1B / log 10) - (log x / log 10) x (log 10S1U1B / log 10) = log 12.7 / log 10S1U1B - log x / log 10S1U1B = (log 12.7 - log x) / logS1U1B 10 Therefore, the logarithm can be expressed as the ratio of common logarithms: log_2.7 x = (log 12.7 - log x) / log 10 = (log 12.7 - log x) / (logS1U1B 10 / log 10) = log(12.7 / x) / log 10 The answer is B) 11eacce6_1ff0_f248_9f49_7bdb09d13611_TB7896_11.

Rewrite the Logarithm as a Ratio of Common Logarithms