To solve the equation log₀.₄x = -1, we need to rewrite it in exponential form.
In general, the logarithmic form logₐb = c can be written in exponential form as aᶜ = b.
So, log₀.₄x = -1 can be rewritten as ₀.₄^(-1) = x.
To find x, we need to compute ₀.₄^(-1):
₀.₄^(-1) = 1 / ₀.₄ = 1 / 0.4 = 2.5
Therefore, x = 2.5.
To solve the equation log₀.₄x = -1, we need to rewrite it in exponential form.
In general, the logarithmic form logₐb = c can be written in exponential form as aᶜ = b.
So, log₀.₄x = -1 can be rewritten as ₀.₄^(-1) = x.
To find x, we need to compute ₀.₄^(-1):
₀.₄^(-1) = 1 / ₀.₄ = 1 / 0.4 = 2.5
Therefore, x = 2.5.