Final answer:
The equation 5 = log2(x) rewritten as an exponential equation is 2^5 = x, which means the correct answer is option a) 2^5 = x.
Step-by-step explanation:
To rewrite the equation 5 = log2(x) as a logarithmic equation, we need to understand that logarithms and exponents are inverse functions. Given the equation 5 = log2(x), it is expressed in logarithmic form and we want to rewrite it in exponential form to solve for x. The base of the logarithm, which is 2, can be expressed as an exponent of the other side of the equation.
- Recognize that the equation is in logarithmic form: 5 = log2(x).
- Convert the logarithmic form to exponential form. Here, the base is 2 and it must be raised to the power given on the left side of the equation, which is 5, to get the value of x.
- Therefore, the exponential form of this equation is 2^5 = x.
Thus, the correct answer is option a) 2^5 = x.