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log to base 25000 of 45000? please

 Dec 4, 2014

Best Answer 

 #1
avatar+118723 
+5

$$\\y=log_{25000}45000\\\\
25000^y=25000^{log_{25000}45000}\\\\
25000^y=45000\\\\
log_{10}25000^y=log_{10}45000\\\\
ylog_{10}25000=log_{10}45000\\\\
y=\frac{log_{10}45000}{log_{10}25000}\\\\
$now you can do it on the site calc$\\\\
OR\\\\
$you could have gone straight to the last line using the change of base rule$$$

.
 Dec 4, 2014
 #1
avatar+118723 
+5
Best Answer

$$\\y=log_{25000}45000\\\\
25000^y=25000^{log_{25000}45000}\\\\
25000^y=45000\\\\
log_{10}25000^y=log_{10}45000\\\\
ylog_{10}25000=log_{10}45000\\\\
y=\frac{log_{10}45000}{log_{10}25000}\\\\
$now you can do it on the site calc$\\\\
OR\\\\
$you could have gone straight to the last line using the change of base rule$$$

Melody Dec 4, 2014

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