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It assesses knowledge in subjects relevant to the candidate’s chosen course of study.","tags","utme jamb joint admission matriculation board unified tertiary matriculation examination nigeria africa","version","vip","location",{"_390":391,"_392":393},"type","Point","coordinates",[394,395],9.082,10.3671,"ng","priority",5,"createdOn",1755987353430,"updatedOn","questionsCount",29915,"courseCount",20,"examKey","questionData",{"_369":409,"_410":411,"_412":413,"_278":415,"_416":417,"_263":370,"_418":419,"_420":421,"_110":426},"Cv1H62xzsriKRtBN1A67RJZZxwgxfb","q","Evaluate 5^-3log₅2 x 2^2log₂3","ans",[414],1,"2000","course","mathematics","exp","5^-3log₅2 x 2^2log₂3
\ni Let -3log₅2 = p => log₅2^-3 = p
\n∴2^-3 = 5^p
\n∴5^-3log₅2 = 5log₅2^-3 = 5^p
\nii 2^2log₂3 = q => log₅3² = q
\n∴3² = 2^q
\n∴2^{2^2log₂3} = 2^q
\n= 3² = 9
\ni x ii = 2^-3 x 9 = ¹/_2³ x 9
\n= ¹/₈ x 9
\n= ⁹/₈ = 1¹/₈","opts",[422,423,424,425],"8","1¹/₈","²/₅","¹/₈",39,"39","initComment","initReply","actionData","errors"]

JAMB - Mathematics (2000 - No. 39)

Explanation

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