Final answer:
To solve the logarithmic equation log₁₀(1000)=x, you need to find the exponent that gives us 1000 when 10 is raised to that exponent. The solution to the equation is x = 3.
Step-by-step explanation:
To solve the logarithmic equation log₁₀(1000)=x, you need to recall the definition of a logarithm. The logarithm of a number is the exponent to which a given base must be raised to obtain that number. In this case, the base is 10 and the number is 1000. Therefore, we need to find the exponent that gives us 1000 when 10 is raised to that exponent.
Since 10 to the power of 3 is equal to 1000, we can deduce that the solution to the equation is x = 3. Hence, the logarithmic equation is solved.