what is log 100 Answer link log100 2 To evaluate this you use the definition of a logarithm log ab c iff a c b You also have to assume that if no base b is written then the base is 10 So in the example you have log 10 100 c iff 10 c 100 Now you can easily find that c 2 because 10 2 10 10 100 So the answer is log100 log 10 100 2
Log 100 2 In this section inverse of exponential functions the way to describe it is as the number that as an exponent of 10 would result in the value of 100 E g 10 2 100 Without a calculator the original expression 10 x 100 would need to be solved with a logarithm table In this particular case we can use the known relationship to see that any multiple of 10 A log expression asks a question If no base is shown it is assumed to be 10 In this case log 10 100 asks What power of 10 is 100 100 is which power of 10 Which index of 10 will make 100 Log form and index form are interchangeable We know that 10 2 100 so the answer is 2 log 10 100 2 IN the same way
what is log 100
what is log 100
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Recall the log rule that states loga n nloga log100 x xlog100 x log100 Now remember the change of base rule log a n log n log a Explanation First lets assume that the base of the logarithm is 10 sometimes written log10 Next we ll simplify by using the knowledge that log xa a log x We can convert the 1 100 in the expression to a power of 10 log 1 100 log 100 1 log 102 1 log 10 2 Which we can rewrite as 2 log 10 2
Explanation log10100 2 Which means that if you raise 10 to the power of 2 you will get 100 or log10100 2 log10102 2 102 100 Answer link You should know that our number system is based on 101 10 102 100 103 1 000 and so on So we can say that 10 raised to the power of 3 is 1000 Using this to answer the log question gives log101000 3 In the same way log39 2 because 32 9
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Log 0 001 log 100 1 The common logarithm log x and exponentiation 10 x are essentially inverse functions of one another 7093 views around the world You can reuse this answer
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what is log 100 - Recall the log rule that states loga n nloga log100 x xlog100 x log100 Now remember the change of base rule log a n log n log a