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How do you solve 3log5 125 - log2 8 equals x?

Updated: 10/27/2022
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AJWredfb1785

Lvl 1
10y ago

Best Answer

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.

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10y ago
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Q: How do you solve 3log5 125 - log2 8 equals x?
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