Question

solve these logarithmic equation : log of n to the base 3 ➖ log of 4 to the base 3= 2

Answer 1

then n equal to 36 by Logarithemic

Answer 2

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HERE'S THE ANSWER..

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$log_{3}(n) - log_{3}(4) = 2$
♠️ Formulas we'll be using

⏺️ $\boxed{ log_{a}(b) - log_{a}(c) = log_{a}(b/c) \\ \:}$

♠️ We can write

=> $2 = log_{3}(9)$

⏺️ Now putting value of 2


$= > log_{3}(n) - log_{3}(4) = log_{3}(9) \\ \\ = > log_{3}(n \div 4) = log_{3}(9) \\ \\ taking \: antilog \: both \: sides \\ \\ = > n \div 4 = 9 \\ \\ = > n = 9 \times 4$

=. $\boxed{n \:=\:36}$

HOPE HELPED

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