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Solve for x: 5^x=4  

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user7313508 | (Level 1) eNoter

Posted January 24, 2013 at 1:51 AM via web

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Solve for x: 5^x=4

 

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted January 24, 2013 at 1:57 AM (Answer #1)

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You are not allowed to ask multiple questions in a single post.

Here is the solution to `5^x = 4`

`5^x = 4`

take the logarithm of both the sides and use the logarithmic property `log(a^b) = b*log a`

`log(5^x) = log 4`

=> `x*log 5 = log 4`

=> `x = (log 4)/(log 5)`

The solution of `5^x = 4` is `x = (log 4)/(log 5)`

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