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We need to find the value of Log 5832 with the base as 3√2.
5832 can be written as 18³ (eighteen cube) and 3√2 can be written as √18
Let Log5832 = x
Therefore, (√18)^x = 18³
This can be simplified further:
(18)^(x/2) = 18³
or
x/2 = 3. Therefore, x = 6
So we have our answer as 6
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