How Do You Calculate Error in Logarithms?

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To calculate the error in logarithms, one can use the formula for propagation of uncertainty. For a value like 2.6 ± 0.1, the logarithmic error can be determined by evaluating log(2.6 - 0.1) and log(2.6 + 0.1). This method provides the range of values for the logarithm, allowing the error to be assessed. The difference between the logarithm of the upper and lower bounds gives the error in the logarithmic value. Therefore, using this approach yields a precise calculation of the error in logarithmic terms.
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hi
i want to knw the formula to find error in log

for example they give me a value of 2.6 +or- 0.1

now they say log this value and give the error

i log it and i get 1.176 ok but now how to find the error in log

i knw there is a forumla but i forget it
 
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You can always try log(2.6-0.1) and log(2.6+0.1) to check.
 

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