1.

5 ^ (- log 5 ^ 3) please and I will mark as brianlist​

Answer»

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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