5 ^ (- log 5 ^ 3) please and I will mark as brianlist
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Good Morning Dear freind, here is the answer to your question..
We know that log 2 = 0.3010
and log 10 = 1
Therefore,
log 10 = 1
log (5*2) = 1
according to the property,
log (x*y) = log x + log y
Therefore,
log 5 + log 2 = 1
log 5 + 0.3010 = 1
log 5 = 0.699
Another property which will be used in this question,
log (x^y) = y log x
Therefore,
5^ (-log 5^3)
= 5^ (-3 * log 5)
= 5^ (-3 * 0.699)
= 5^(-2.097)
= 0.0342
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