Question

Rewrite the exponential equation eˣ=17 using natural logs. What is the equivalent expression in terms of natural logarithms?

A) x=log(17)
B) x=ln(17)
C) x=log₁₀(17)
D) x=ln(10)

Answer 1

To rewrite the exponential equation e^x=17 using natural logarithms, we can take the natural logarithm (ln) of both sides. This will eliminate the exponential function, resulting in the equivalent expression x = ln(17).

Step-by-step explanation:

To rewrite the equation e^x = 17 using natural logarithms, we can take the natural logarithm (ln) of both sides. This will eliminate the exponential function.

ln(e^x) = ln(17)

Using the property that ln(e^x) = x, we get:

x = ln(17)