Homework Answers
as per the guidelines i can only solve one question per subject. hope you'll understand. thank you
SOLUTION :
(I)
log (1 / 100) = - 2
Raise both sides to the base 10 :
=> 10^(log (1 / 100) = 10^ (-2)
=> 1 / 100 = 10^(-2)
=> 10^(- 2) = 1 / 100 (ANSWER).
(ii)
log (0.0001)
= log (10^(-4)
= - 4 (ANSWER)
(iii)
ln (5th root (ab) / (c^2 d)
= 1/5 ln (a) + 1/5 ln (b) - 2 ln (c) - ln (d) (ANSWER).
(iv)
log3 (9x^3 √(y^2 - 5) / (y(x+5)^2 )
= log3 (3^2) + log3 (x^3) + 1/2 log3 (y^2 - 5) - log3 (y) - 2 log3 (x + 5)
= 2 + 3 log3 (x) + 1/2 log3 (y^2 - 5) - log3 (y) - 2 log3 (x + 5) (ANSWER).
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> Add following solution for one of the parts :
10^9 = 1000000000
=> log (10^9) = log(1000000000)
=> 9 = log(1000000000)
=> log(1000000000) = 9 (ANSWER)
Tulsiram Garg Sat, Sep 18, 2021 9:32 AM