Question

How do you use the natural logarithm to solve e^x=5/7?

A) x = ln(5/7)
B) x = ln(7/5)
C) x = ln(5) - ln(7)
D) x = ln(7) - ln(5)

Answer 1

To solve e^x=5/7 using the natural logarithm, take the natural logarithm of both sides. The correct answer is x = ln(5/7).

Step-by-step explanation:

To solve the equation e^x = 5/7 using the natural logarithm, we take the natural logarithm of both sides of the equation.

The natural logarithm cancels out the exponential function, so we are left with x = ln(5/7). Therefore, the correct answer is Option A) x = ln(5/7).