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1/logx= 5/3 x=?

 Apr 19, 2015

Best Answer 

 #2
avatar+118723 
+5

Thanks Brodude,

why didn't you just turn them both upside down in the first place?  That would have been a lot simpler.

Also usually log refers to log base 10 and

ln refers to log base e :)

 Apr 20, 2015
 #1
avatar+250 
+5

1: Multiply both sides by log(x)

--> (1 * log(x)) / log(x) = (5*log(x)) / 3

--> 1 = (5*log(x)) / 3

 

2: Multiply both sides by 3

--> 3 = (5*log(x)) * 3 / 3

--> 3 = 5*log(x)

 

3: Divide both sides by 5

--> 3/5 = (5*log(x)) /5

--> 3/5 = log(x)

 

4: Assuming your log is to the base e, raise both sides by e

--> e^(3/5) = e^(log(x))

-->e^(3/5) = x .  Something like 1.822.

 Apr 19, 2015
 #2
avatar+118723 
+5
Best Answer

Thanks Brodude,

why didn't you just turn them both upside down in the first place?  That would have been a lot simpler.

Also usually log refers to log base 10 and

ln refers to log base e :)

Melody Apr 20, 2015

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