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Question
Find the value of: `"log_sqrt(3) (3sqrt(3))`
Sum
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Solution
`"log_sqrt(3) (3sqrt(3))`
Let `"log_sqrt(3) (3sqrt(3))` = x
⇒ `(sqrt(3))^x = 3sqrt(3)`
⇒ `3^(x/2) = 3^(1 + 1/2) = 3^(3/2)`
∴ `x/(2) = (3)/(2)`
⇒ x = 3.
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Interchanging Logarithmic and Exponential Forms - Logarithmic to Exponential
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