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24^y=50

 Dec 28, 2014

Best Answer 

 #2
avatar+118609 
+5

Yes that is correct but most calculators can't do log base 24.     

 

$$24^y=50\\\\
log 24^y=log50\\\\
ylog24=log50\\\\
y=\frac{log50}{log24}$$

 

This log can be any base so long as they are both the same base.

most calcs only do base 10 or base e  

Either of these are fine :)

 

Using the change of base law your answer can be changed very easily as well

 

$$log_{b}(a)=\frac{log_n(a)}{log_n(b)}$$

 Dec 29, 2014
 #1
avatar+20 
+5

it is $${{log}}_{{\mathtt{24}}}{\left({\mathtt{50}}\right)}$$ so it is 1.230949

 Dec 28, 2014
 #2
avatar+118609 
+5
Best Answer

Yes that is correct but most calculators can't do log base 24.     

 

$$24^y=50\\\\
log 24^y=log50\\\\
ylog24=log50\\\\
y=\frac{log50}{log24}$$

 

This log can be any base so long as they are both the same base.

most calcs only do base 10 or base e  

Either of these are fine :)

 

Using the change of base law your answer can be changed very easily as well

 

$$log_{b}(a)=\frac{log_n(a)}{log_n(b)}$$

Melody Dec 29, 2014

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