Final answer:
To find the value of a logarithmic function, use the log button for the base-10 logarithm of a number, and for inverse operations, calculate 10 to the power of the logarithm. For division, subtract the logarithm of the numerator from the denominator's logarithm. Logarithms of numbers less than 1 are negative.
Step-by-step explanation:
The question asks us to find the indicated value of the logarithmic function. To find the common logarithm of a number, you can use the log button on your calculator. When you input a number into your calculator and press the log key, you will obtain the base-10 logarithm of that number. For inverse calculations, such as finding the number from its logarithm, you would calculate 10 to the power of the logarithm (10^x).
For example, if you have a logarithmic equation log(1 x 10^7) and it equals 3, this is telling you that 10^3 equals 1 x 10^7. In cases where we need to find the logarithm for a division of two numbers, the logarithm of the result can be found by subtracting the logarithm of the numerator from the logarithm of the denominator. Additionally, the common logarithm of a number less than 1 will be negative, as shown with the logarithm of 0.03918 being -1.4069, meaning 0.03918 equals 10 to the power of -1.4069.