Enter the scale factor, the input voltage (volts), and the normalization constant (volts) into the calculator to determine the Log Amplifier Voltage.

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## Log Amplifier Voltage Formula

The following formula is used to calculate the Log Amplifier Voltage.

Vo = K * ln ( Vi / Vref)

- Where Vo is the Log Amplifier Voltage (volts)
- K is the scale factor
- Vi is the input voltage (volts)
- Vref is the normalization constant (volts)

To calculate the log amplifier voltage, multiply the scale factor by the natural log of the ratio of input voltage to the normalization constant.

## How to Calculate Log Amplifier Voltage?

The following example problems outline how to calculate Log Amplifier Voltage.

**Example Problem #1**

- First, determine the scale factor. In this example, the scale factor is determined to be 76 .
- Next, determine the input voltage (volts). For this problem, the input voltage (volts) is measured to be 5 .
- Next, determine the normalization constant (volts). In this case, the normalization constant (volts) is found to be 4.
- Finally, calculate the Log Amplifier Voltage using the formula above:

Vo = K * ln ( Vi / Vref)

Inserting the values from above and solving yields:

Vo = 76 * ln ( 5 / 4) = 16.958 (volts)

**Example Problem #2**

Using the same method as above, determine the variables required by the formula. For this example problem, these are:

scale factor = 80

input voltage (volts) = 15

normalization constant (volts) = 9

Enter these given values into the calculator or above yields:

Vo = 80* ln ( 15 / 9) = 40.866** **(volts)