Question

Complete Question: Solve the equation for x: e^{e^x} = 15.

a) x = ln(ln(15)
b) x = ln(15))
c) x = ln(ln(15) - 1)
d) x = ln(ln(15) + 1)

Answer 1

To solve the equation e^{e^x} = 15, take the natural logarithm of both sides of the equation and simplify to x = ln(15).

Step-by-step explanation:

To solve the equation e^{e^x} = 15, we can take the natural logarithm of both sides of the equation. This will cancel out the exponential function and leave us with ln(e^x) = ln(15). Using the property of logarithms that ln(e^x) = x, we can simplify the equation to x = ln(15).

So the correct answer is x = ln(15).