Final answer:
To solve the equation 4log(3x) = 19 for x, divide both sides by 4, apply the exponential form of the logarithm, and then divide by 3 to isolate x. Use a calculator to determine the numerical value of x.
Step-by-step explanation:
The question requires solving for x in the equation 4log(3x) = 19. To solve for x, we need to apply logarithmic properties and algebra. Here is the step-by-step process:
- Divide both sides of the equation by 4 to isolate the logarithmic expression: log(3x) = 19/4.
- Convert the logarithmic equation to its exponential form: 3x = 1019/4.
- Divide both sides by 3 to solve for x: x = (1019/4) / 3.
Use a calculator to find the numerical value for x.