Use Common Logarithms to Solve for X in Terms of Y

question 24

Multiple Choice

Use common logarithms to solve for x in terms of y. $y = \frac { e ^ { x } - e ^ { - x } } { e ^ { x } + e ^ { - x } }$

• A) \(x = 3 \ln \frac { y - 1 } { y + 1 }\)
• B) \(x = \frac { 1 } { 2 } \ln \frac { y + 1 } { 1 - y }\)
• C) \(x = 2 \ln \frac { y - 1 } { y + 1 }\)
• D) \(x = \frac { 1 } { 3 } \ln \frac { y + 1 } { y - 1 }\)
• E) \(x = \ln \frac { y - 1 } { y + 1 }\)