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log b​ a= 32​ What is the value of log⁡𝑎𝑏log a​ b?

Question

log b​ a= 32​ What is the value of log⁡𝑎𝑏log a​ b?

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Solution

D'accord, commençons par résoudre l'équation donnée.

Nous avons : logba=32 \log_b a = 32

Nous devons trouver la valeur de logab\log_a b.

Utilisons la propriété des logarithmes qui dit que si logba=x\log_b a = x, alors logab=1x\log_a b = \frac{1}{x}.

Ici, x=32x = 32, donc : logab=132 \log_a b = \frac{1}{32}

Ainsi, la valeur de logab\log_a b est 132\frac{1}{32}.

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