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rewrite each equation as requested. (a) rewrite as an exponential equation. log_(3)(1)/(81)=-4 (b) rewrite as a logarithmic equation.

Question

Rewrite each equation as requested. (a) Rewrite as an exponential equation. log_(3)(1)/(81)=-4 (b) Rewrite as a logarithmic equation. 8^1=8 (a) square ^square =square (b) log_(square )square =square

Solution

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4.6 (249 Votos)
Vasco Profissional · Tutor por 6 anos

Resposta

(a) Rewrite. To rewrite the given logarithmic equation as an exponential equation, we can use the formula: is equivalent to In this case, we have:- Base (b) = 3- Exponent (y) = -4- Argument (x) = Using the formula, we can rewrite the equation as: Therefore, the exponential equation is: (b) Rewrite as a logarithmic equation. To rewrite the given exponential equation as a logarithmic equation, we can use the formula: is equivalent to In this case, we have:- Base (b) = 8- Exponent (y) = 1- Argument (x) = 8Using the formula, we can rewrite the equation as: Therefore, the logarithmic equation is: