SOLUTION: Use the definition of logarithm to simplify each expression.
log10 10
log10 1,000
log10 10−4 the -4 is to the -4 power
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Question 940744: Use the definition of logarithm to simplify each expression.
log10 10
log10 1,000
log10 10−4 the -4 is to the -4 power
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Use the definition of logarithm to simplify each expression.
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Comment:: log mean "exponent".
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log10 10 means "the exponent of 10 that gives you 10"
Ans: 1
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log10 1,000 means "the exponent of 10 that gives you 1000"
Ans: 3
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log10 10−4 the -4 is to the -4 power
means "the exponent of 10 that gives you 10^-4
Ans: -4
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cheers
Stan H.
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Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
simplify each expression: these are common logarithms
Logarithms that use as the base are called common logarithms.
a logarithm answers the question:
How many of one number do we multiply to get another number? The number we are multiplying is called the "base".
here we are asking "how many s need to be multiplied together to get ?" and answer is
so, we have
"how many s need to be multiplied together to get ?" and answer is because or
so, we have
...since
so,
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