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What is the value of log5^125?

User Miklesw
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1 Answer

5 votes

Explanation:

I'm going to assume you mean


log(5^(125)) which can be rewritten as
125 log(5) since if you start with
log(a) = x = > 10^x=a\\(10^x)^c=a^c\\c *log(a^c)since when you do (10^x)^c you're just multiplying the exponent which is represented by the x but is equal to the log you just multiply the log which is why you can bring it in front.

You can then approximate the value of log(5) using a calculator and multiply by 125 to get around 87.371

User Tgirod
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