Question

Solve for x in each exponential equation. Round off answers to four decimal places.​

Answer 1

Answer:

0.6875

Step-by-step explanation:

24.5 = 3.2⁴ˣ

To get the exponent out of its exponent form, we need to take the ln of both sides:

ln(24.5) = 4x · ln(3.2)                              - divide both sides by ln(3.2)

$\frac{ln(24.5)}{ln(3.2)}$ = 4x                                              - divide both sides by 4

x = 0.6875