Question

Given a= log 5 and b= log 11, express log 550 in terms of a and b.

Answer 1

log(a x b) = Log(550)

Explanation:

Depends what question is asking

Log rule (So long as they have the same base)

Log(m) + Log(n) = Log(m x n)

Log(a) + Log(b) = Log(a x b)

Log(5) + Log(11) = Log(5 x 11)

=Log (550)

Answer 2

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`log(550) = log(2 * 5 * 5 * 11) = \\`

`log(2) + log( {5}^(2) ) + log(11) =`

`1 - log(5) + 2 log(5 ) + log(11) = \\`

`1 + log(5) + log(11) =`

`1 + a + b`

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