Explanation
Step 1 : The principle properties of logarithm:logamn=nlogam(Where m,a>0 and a≠1)
Consider,
log4t24−2log44t4
Put t=−2 in above expression, We get
=log4(−2)24−2log44(−2)4
=log4(44)−2log4(4×16)
=log41−2log464
=0−2log443(∵loga1=0)
=−2×3log44(∵logamn=nlogam)
=−6(∴logaa=1)
Hence,−6 is the answer.
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