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Write the following expression as a single logarithm. 13log(x-1)+12log(x) - Mathematics and Statistics

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Question

Write the following expression as a single logarithm.

`1/3 log (x - 1) + 1/2 log (x)`

Sum
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Solution

`1/3 log (x - 1) + 1/2 log (x) = log (x - 1)^(1/3) + logx^(1/2)`

= `log[root(3)(x - 1)*sqrt(x)]`

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Chapter 6: Functions - Exercise 6.1 [Page 119]
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