This article describes the formula syntax and usage of the LOGINV function in Microsoft Excel.
Description
Returns the inverse of the lognormal cumulative distribution function of x, where ln(x) is normally distributed with parameters mean and standard_dev. If p = LOGNORMDIST(x,...) then LOGINV(p,...) = x.
Use the lognormal distribution to analyze logarithmically transformed data.
Important: This function has been replaced with one or more new functions that may provide improved accuracy and whose names better reflect their usage. Although this function is still available for backward compatibility, you should consider using the new functions from now on, because this function may not be available in future versions of Excel.
For more information about the new function, see LOGNORM.INV function.
Syntax
LOGINV(probability, mean, standard_dev)
The LOGINV function syntax has the following arguments:

Probability Required. A probability associated with the lognormal distribution.

Mean Required. The mean of ln(x).

Standard_dev Required. The standard deviation of ln(x).
Remarks

If any argument is nonnumeric, LOGINV returns the #VALUE! error value.

If probability <= 0 or probability >= 1, LOGINV returns the #NUM! error value.

If standard_dev <= 0, LOGINV returns the #NUM! error value.

The inverse of the lognormal distribution function is:
Example
Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.
Data 
Description 

0.039084 
Probability associated with the lognormal distribution 

3.5 
Mean of ln(x) 

1.2 
Standard deviation of ln(x) 

Formula 
Description 
Result 
=LOGINV(A2, A3, A4) 
Inverse of the lognormal cumulative distribution function, using the arguments in A2, A3, and A4. 
4.0000252 