solve log(b4)x-log(b4)2=2
(b4)=base 4
To solve the equation log(b4)x - log(b4)2 = 2, where the base is 4, we can use the properties of logarithms. The first step is to simplify the equation by applying the logarithmic property that states log(base a)b - log(base a)c = log(base a)(b/c).
Therefore, we can rewrite the equation as log(b4)(x/2) = 2.
Next, we need to eliminate the logarithm by converting it into exponential form. In general, log(base a)b = c can be rewritten as a^c = b.
Applying this to our equation, we have 4^2 = x/2.
Simplifying further, we get 16 = x/2.
To solve for x, we can multiply both sides of the equation by 2, which gives us 32 = x.
Therefore, the solution to the equation log(b4)x - log(b4)2 = 2, with base 4, is x = 32.