Q. 6 D5.0( 1 Vote )

# Simplify the following.

Answer :

⇒ log_{8}(16×52) - log_{8}13

(∵ log_{a}(M×N) = (log_{a}M) + (log_{a}N) and )

⇒

(∵ loga(M ÷ N) = (log_{a}M) - (log_{a}N))

⇒ log_{8}(16×4) = log_{8}64

⇒ 8x = 64 or x = 2

(∵ a^{x} = b is the exponential form of logarithmic form of log_{a}b)

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