What value of x makes the equation 5e3x=36 true? Round your answer to the nearest tenth.

To solve the equation 5e^(3x) = 36, we can divide both sides by 5 to get e^(3x) = 7.2. Then, we can take the natural logarithm of both sides to get: 3x = ln(7.2) Solving for x, we get: x = ln(7.2)/3 ≈ 0.672 Rounding to the nearest tenth, we get x ≈ 0.7. Therefore, the value of x that makes the equation 5e^(3x) = 36 true, rounded to the nearest tenth, is 0.7