# [R] Exponentiate very large numbers

Rolf Turner rolf.turner at xtra.co.nz
Tue Feb 5 21:41:50 CET 2013

```Presumably you wish to *calculate*

exp(1347) - exp(eps + 1351) where eps = ln(0.1)

(rather than *solve* anything).

This is equal to

exp(1347)*(1 - exp(eps + 4)) = - exp(1347 + log(exp(eps+4) - 1)
= -exp(1347 + 1.495107) = - exp(1348.495107)

This is, to all intents and purposes, minus infinity.

cheers,

Rolf Turner
On 02/05/2013 04:59 AM, francesca casalino wrote:
> I am sorry I have confused you, the logs are all base e:
>
> ln(a) = 1347
> ln(b) = 1351
>
> And I am trying to solve this expression:
>
> exp( ln(a) ) - exp( ln(0.1) + ln(b) )
>
>
> Thank you.
>
> 2013/2/4 francesca casalino <francy.casalino at gmail.com>:
>> Dear R experts,
>>
>> I have the logarithms of 2 values:
>>
>> log(a) = 1347
>> log(b) = 1351
>>
>> And I am trying to solve this expression:
>>
>> exp( ln(a) ) - exp( ln(0.1) + ln(b) )
>>
>> But of course every time I try to exponentiate the log(a) or log(b)
>> values I get Inf. Are there any tricks I can use to get a real result
>> for exp( ln(a) ) - exp( ln(0.1) + ln(b) ), either in logarithm or
>> exponential form?
>>
>>
>> Thank you very much for the help
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