![\"\"](\"/userfiles/image/steps_images/step1.JPG\")
Use change base formula to solve logarithmic expressions with three different bases.
\Change of base formula is ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=b802fa558d59c81d41da625d6c80d22e.png\")
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Concider a logarithm exprssion ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=ede2290093a3031c91a67196640468ec.png\")
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Here we have three differrent bases in the above logarithm expression.
\To solve ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=ede2290093a3031c91a67196640468ec.png\")
use change base formula.
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=dedcafeb77032d1eb499058ac076ff9d.png\")
Power property of logarithm ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=78c7feccce46a576947b75dd6e17580e.png\")
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![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=67500ccd6d93211e2cb2dae22658a83e.png\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=c000510c51eb1f09c4672d3e4420a206.png\")
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![\"\"](\"/userfiles/image/steps_images/solution.JPG\")
Use change base formula to solve logarithmic expressions with three different bases.