Q2 of 34 Page 342

Let us write by calculating, find its base if logarithm of 625 is 4

Let the base be a.


We know that if


Then


So,





We know that if the powers are same on both the sides then the bases must also be same.


Therefore, a=5


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1

Let us evaluate:

(i)


(ii) log0.01 0.000001


(iii)


(iv)

2

Let us write by calculating, find its base if logarithm 5832 is 6

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If 3 + log10x = 2log10y, then express x by y