Use natural logarithms to solve the equation.

Question

e^x+1=10

Answer 1

To solve the equation e^x+1=10 using natural logarithms, we will take the natural logarithm of both sides of the equation.

ln(e^x+1) = ln(10)

Using the property of logarithms that ln(e^a) = a, we can simplify the equation.

x + 1 = ln(10)

Now, we can isolate the variable x by subtracting 1 from both sides.

x = ln(10) - 1

Therefore, the solution to the equation e^x+1=10 using natural logarithms is x = ln(10) - 1.