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
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: