Rewrite the expression as a single logarithm and simplify the result. $\ln | \cos x | - \ln | \sin x |$
A) $\ln | \tan x |$
B) $\ln | \cos x |$
C) $\ln | \sin x |$
D) $\ln | \cot x |$
E) $\ln | \csc x |$

Question

Rewrite the expression as a single logarithm and simplify the result.​ $\ln | \cos x | - \ln | \sin x |$ ​
A)​ $\ln | \tan x |$
B) $\ln | \cos x |$
C) $\ln | \sin x |$
D) $\ln | \cot x |$
E) $\ln | \csc x |$

Quizplus · Accepted Answer

Using the log property, 
log(x)+log(y)-log(z) = log(xy/z)
Thus, the given expression can be simplified to 
log[(1/4)(4/3)(3/2)(2)] = log(1/3)
Converting this to a hexadecimal form gives us 
11ea99db_b49d_cefe_94ac_c7891a8f10f9_TB4590_11, which is option D.

Rewrite the Expression as a Single Logarithm and Simplify the Result.​

Rewrite the Expression as a Single Logarithm and Simplify the Result.