0
Actually we don't. Any number greater than 1 can be used; it need not even be a whole number. In computer science, the number 2 is often used as a base; in advanced math, the number "e" is often used - this number is approximately 2.71828..., and for theoretical reasons it is considered to be the most "natural" base for logarithms. In fact, the logarithms in base "e" are called "natural logarithms".
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What is the logarithm of 1.0?
Zero, in logs to base 10, base e, or any base.
What is the logarithm of 1.5?
The logarithm of 1.5 is approximately 0.1760912591... Your logarithm is base 10, and the natural logarithm of 1.5 (base e), is approximately 0.4054651081... Example base: 8 Approximately: 0.1949875002...
What is a common logarithm?
Logarithms can be taken to any base. Common logarithms are logarithms taken to base 10; it is sometimes abbreviated to lg. Natural logarithms are logarithms taken to base e (= 2.71828....); it is usually abbreviated to ln.
What is the base 10 logarithm called?
The base 10 logarithm is called the "common logarithm". * * * * * It is also called the 'Briggsian logarithm', named after Henry Briggs, who introduced his table of logarithms on base 10 at Oxford in 1624, much to the joy of navigators, astronomers, and others having tedious calculations to perform.
How do you find the variable with an exponent on an equation?
Solving for a variable in the exponents involves logarithsm.A logarithm, for example a logarithm to base 10, is related to the question, "to what power do I have to raise a number [10 in the example] to get a certain other number?"Scientific calculators can usually calculate logarithms to base 10, and base e = 2.718... directly.Examples:10x = 1000 is equivalent to asking for the logarithm (base 10) of 1000. Take the logarithm of 1000 on your calculator. The result, of course, should be 3.To calculate something like 2x = 1024, divide log(1024) / log(2) (using any base, but be consistent). The result should be 10, or close to 10 (due to rounding errors, it may not be exact).Solving for a variable in the exponents involves logarithsm.A logarithm, for example a logarithm to base 10, is related to the question, "to what power do I have to raise a number [10 in the example] to get a certain other number?"Scientific calculators can usually calculate logarithms to base 10, and base e = 2.718... directly.Examples:10x = 1000 is equivalent to asking for the logarithm (base 10) of 1000. Take the logarithm of 1000 on your calculator. The result, of course, should be 3.To calculate something like 2x = 1024, divide log(1024) / log(2) (using any base, but be consistent). The result should be 10, or close to 10 (due to rounding errors, it may not be exact).Solving for a variable in the exponents involves logarithsm.A logarithm, for example a logarithm to base 10, is related to the question, "to what power do I have to raise a number [10 in the example] to get a certain other number?"Scientific calculators can usually calculate logarithms to base 10, and base e = 2.718... directly.Examples:10x = 1000 is equivalent to asking for the logarithm (base 10) of 1000. Take the logarithm of 1000 on your calculator. The result, of course, should be 3.To calculate something like 2x = 1024, divide log(1024) / log(2) (using any base, but be consistent). The result should be 10, or close to 10 (due to rounding errors, it may not be exact).Solving for a variable in the exponents involves logarithsm.A logarithm, for example a logarithm to base 10, is related to the question, "to what power do I have to raise a number [10 in the example] to get a certain other number?"Scientific calculators can usually calculate logarithms to base 10, and base e = 2.718... directly.Examples:10x = 1000 is equivalent to asking for the logarithm (base 10) of 1000. Take the logarithm of 1000 on your calculator. The result, of course, should be 3.To calculate something like 2x = 1024, divide log(1024) / log(2) (using any base, but be consistent). The result should be 10, or close to 10 (due to rounding errors, it may not be exact).
