Question

7^x= e^(x+9)
Solve for x

Answer 1

To solve the equation 7^x = e^(x+9), take the natural logarithm of both sides and solve for x.

Step-by-step explanation:

To solve the equation 7^x = e^(x+9), we can take the natural logarithm (ln) of both sides.

ln(7^x) = ln(e^(x+9))

x * ln(7) = (x+9) * ln(e)

x * ln(7) = (x+9)

x * ln(7) - x = 9

x * (ln(7) - 1) = 9

x = 9 / (ln(7) - 1)

Using a calculator, we find that x ≈ 4.027.