Q6 of 124 Page 29

Simplify the following.

5log102 + 2log103 - 6log644

5log102 + 2log103 - 6log644


Here log644 = x


⇒ 64x = 4


⇒ (43)x = 4


⇒ 3x = 1


⇒


∴


∴ 5log102 + 2log103 - 6log644 = log1025 + log1032 - 2


= log1032 + log109 - 2log1010


= log1032 + log109 - log10102


=


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