Find the Value Of: Log √ 3 ( 3 √ 3 ) - Mathematics

Find the value of: `"log_sqrt(3) (3sqrt(3))`

Sum

`"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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Chapter 10: Logarithms - Exercise 10.1

Chapter 10 Logarithms
Exercise 10.1 | Q 4.16

Express the following in the exponential form:
log₁₀ 0.001 = -3

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`"log"_2 (1)/(2)` = -1

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