Final answer:
The exponential equation 10^5 = 100,000 is written in logarithmic form as log₁₀(100,000) = 5, which translates the exponent into the power to which the base 10 is raised.
Step-by-step explanation:
The student has asked to write the exponential equation 10^5 = 100,000 as a logarithmic equation. To express this equation in logarithmic form, we use the definition of a logarithm: log10(100,000) = 5. This statement says that the power (exponent) to which the base, 10, must be raised to produce the number 100,000 is 5. It directly follows the concept that the logarithm of a number is the exponent to which the base must be raised to equal that number. Therefore, in logarithmic form, the given equation becomes log10(100,000) = 5.