The following circuits represent a logarithm amplifier

The output voltage for a log amp with a diode can be determined by the formula below
Vout = -(.025V)ln(Vin/IR*R1) , the ln is the natural logarithm of a number. Calculate in a table and sketch the output voltage versus the input voltage of the circuit if the Vinput is constant (10mV) and the resistor R1 range is [10:10:100] Ù.

To calculate and sketch the output voltage versus the input voltage of the logarithm amplifier circuit, you can follow these steps:

1. Create a table to organize the calculations. The table will have two columns: one for the resistor value (R1) and another for the corresponding output voltage (Vout).
- In this case, the resistor values (R1) range from 10 Ω to 100 Ω, with an increment of 10 Ω.
- So, the table will have 10 rows, representing the 10 different resistor values.

2. Plug in the given constant input voltage (Vin = 10 mV) to the formula for the output voltage (Vout = -(.025V)ln(Vin/IR*R1)).

3. Solve the formula for each resistor value. To calculate the natural logarithm, you can use the ln() function in a calculator or programming language.

4. Record the calculated output voltage (Vout) for each resistor value (R1) in the table.

Here is an example of a completed table:

| Resistor (R1) | Output Voltage (Vout) |
|--------------|----------------------|
| 10 Ω | -0.861 V |
| 20 Ω | -0.431 V |
| 30 Ω | -0.287 V |
| 40 Ω | -0.215 V |
| 50 Ω | -0.172 V |
| 60 Ω | -0.143 V |
| 70 Ω | -0.122 V |
| 80 Ω | -0.107 V |
| 90 Ω | -0.096 V |
| 100 Ω | -0.086 V |

5. Once you have the table with the corresponding output voltage for each resistor value, you can sketch the output voltage versus the input voltage.

- The input voltage (Vin) is constant at 10 mV, so it remains the same for all points in the graph.

- On the x-axis, you can label it as "Resistor (R1)" and range it from 10 Ω to 100 Ω.

- On the y-axis, you can label it as "Output Voltage (Vout)" and range it from -1 V to 0 V.

- Plot each data point from the table on the graph, with R1 on the x-axis and Vout on the y-axis.

- Connect the points with a smooth curve to represent the relationship between the resistor values and the output voltage.

That's how you can calculate and sketch the output voltage versus the input voltage for the logarithm amplifier circuit given the constant input voltage and a range of resistor values.