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First you need to understand what a logarithm is. If y = bx, then x = logb(y), where b is the base of the logarithm. Typically, if the base is not given, like log(100), then the assumption is that the base is ten, so in the example of log(100), the answer is 2, since 102 = 100. The natural logarithm loge, is abbreviated ln(), and is programmed into many calculators and computer software.
That would obviously depend on the problem, but sometimes you can solve equations involving logarithms by taking antilogs on both sides. Also, quite often you need to apply the following basic properties of logarithms:
log(ab) = log a + log b
log(a/b) = log a - log b
log(ab) = b log a
And then, since many calculators and software have log (base 10) and natural log built in, but not other bases, this is helpful: logb(a) = log10(a)/log10(b)
or logb(a) = ln(a)/ln(b). So if you wanted to take the log (base 2) of a number (say 256 for example), you can do:log2(256) = ln(256)/ln(2) = 8.
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How would you solve 250 to the x power equals 400000?
250x = 400000 then x log 250 = log 400000 so x = log 400000 / log 250 Natural logs could have been used instead of logs to base 10.
How do you solve 3log5 125 - log2 8 equals x?
Your calculator won't usually have a function to calculate logs in base 5 or base 8 directly, but this can easily be solved. For example: log5125 = log 125 / log 5 (taking both logs in base 10, or both logs in base e) In this particular case, you can also solve the equation mentally - you don't even need a calculator! Just use the definition of a log: "To what power must I raise 5 to get 125?" The answer to this is, by definition, log5125. Similarly with log28.
What is the value of x if log base 10 of x equals 2?
Logs to base 10 are common logs and are abbreviated to lg; to solve use antilogs: lg x = 2 → 10^(lg x) = 10^2 → x = 10² = 100
How are rotting logs similar to burning logs?
They both r logs
are they buying cedar logs?
are they buying cedar logs and how much they paying are they buying cedar logs?
Does it matter if we use common logs or natural logs to solve problems Why or why not?
It really depends on the type of problem. In some cases, what base you use doesn't matter at all. In other cases, it may make a difference. In advanced math, both the exponential function and the logarithmic function are simplest if the base "e" (approximately 2.718) is used - in other words, natural logarithms.
What are the animals that live's in logs?
animals live's in logs
When was Lincoln Logs created?
Lincoln Logs was created in 1918.
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It logs into Ntbtlog.txt
What are some runescape items in demand that are cheap?
Ores, runes, logs, fish, are some of them.Ores, runes, logs, fish, are some of them.Ores, runes, logs, fish, are some of them.Ores, runes, logs, fish, are some of them.
Where is mentioned an UFO on Columbus logs?
There is no mention of UFOs in Columbus' logs.
What is the origin of the phrase log on?
When a server receives a connexion, it's usually saved somewhere, in files called "logs", along with all the actions you do on the server until you disconnect. So, when you connect somewhere, the logs are started (Logs ON) until you disconnect, then the logs are stopped (Logs OFF).
