(i) formula --- log a + log b (with common base) = log(ab)
log2+ log5 = log 2*5=log 10 = 1
(ii) formula --- log a + log b - log c = log (ab)/c (with common base)
log4+ log5 - log2 = log (4*5)/2= log 20/2 = log 10 = 1
(iii) formula --- b log a = log a tothe power b (with a common base)
= log (5 square * 8 )/4 raised to half
a raised to half =root of a
=log (25*8)/2
= log 200/2=x
10 raised to x = 100
x=2
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Answers & Comments
(i) formula --- log a + log b (with common base) = log(ab)
log2+ log5 = log 2*5=log 10 = 1
(ii) formula --- log a + log b - log c = log (ab)/c (with common base)
log4+ log5 - log2 = log (4*5)/2= log 20/2 = log 10 = 1
(iii) formula --- b log a = log a tothe power b (with a common base)
= log (5 square * 8 )/4 raised to half
a raised to half =root of a
=log (25*8)/2
= log 200/2=x
10 raised to x = 100
x=2
(NOTE :- ALL BASES HAVE NOT BEEN MENTIONED HERE. THE BASES OF THESE COMMON LOGARITHMS ARE ASSUMED TO BE 10)