The answer is "no solution." ln(0) means e^x=0, and nothing raised to any power can ever equal zero.
The domain of y=lnx is (0,∞) and the range is (-∞,∞).
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Natural log Common log Binary log
20 log 10 = log (10^20) The actual value will depend upon the base use for the logarithm - "log" means logarithms taken to any base, and when calculated it gives to what power the base needs to be raised to get the original number. Two bases are used a lot and have specific abbreviations: * logs to base 10 are known as common logs and are usually abbreviated to "lg"; * logs to base e (= 2,71828...) are known as natural logs and are abbreviated to "ln". On a scientific calculator, the [log] button is common logs ([lg]). If [2][0][log][1][0][=] is entered on a modern Casio scientific calculator the result will be 20 × lg 10 = 20 x 1 = 20. On an older (or different model without "natural entry") scientific calculator [2][0][×][1][0][log][=] will need to be entered If natural logs are used: 20 log 10 = 20 ln 10 ≈ 20 × 2.303 +≈ 46.052.
The answer really depends on what number you are doubling. Let's say that you wish to double the number a (which we assume is greater than 0). If we're raising a to the nth power, then n must satisfy the following equation: an = 2a Taking the natural log on both sides, n log a = log (2a), n = log (2a) / log a. So if we double the number a, it is raised to the log (2a) / log a power.
The 'common' log of 4 is 0.60206 (rounded) The 'natural' log of 4 is 1.3863 (rounded)
0.69897 Natural Log of 5 = 1.6094379