log 100 value 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
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 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
log 100 value
log 100 value
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What Is The Value Of Log 100 Log 100 YouTube
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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 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
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 Answer The value of the given expression is 1 To simplify the expression we will make use of the following key logarithmic properties
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1 Answer Logarithms in base 10 common log is the power of 10 that produces that number log 10 000 4 since 104 10000 The domain of the common log as well as the logarithm in any base is x 0 You can not take a log of a negative number since any positive base can NOT produce a negative number no matter what the power Answer Simplify it first log 100 60 log 10 6 log 10 log 6 log 10 log 3 log 2 1 0 4771 0 3010 1 0 7781 0 2219 and Log 100 60 L myself16 myself16 26 07 2019
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