To solve the equation log2(x) = 3125/3, we first need to understand the meaning of the logarithm. The equation states that the base 2 logarithm of x is equal to 3125/3.
This can be rewritten in exponential form. The definition of logarithm tells us that if logb(a) = c, then bc = a. In our case, we apply this rule where b = 2, c = 3125/3, and a = x.
Hence, we rewrite the equation as follows:
x = 2^(3125/3)
This means to find x, we calculate 2 raised to the power of 3125/3.
To get a numerical value for this, you can use a calculator to evaluate 2^(3125/3). However, keep in mind that the number will be quite large because of the exponent.
In summary, the solution to the equation log2(x) = 3125/3 is:
x = 2^(3125/3)