Evaluate \(log_{\sqrt{2}}4+log_{\frac{1}{2}}16-log_{4}32\...
Evaluate log√24+log1216−log432
-5.5
-2.5
2.5
5.5
Correct answer is B
Note that if we set log√24=x1,solvinggivesx1=4iflog1216=x2,⇒x2=−4Alsoforlog432=x3=2.5Combiningresults,x1+x2+x3=4+(−4)−2.5=−2.5
Note that the solution has been separated to simplify solving difficulty due to different bases.
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