Question

Rewrite as an exponential equation
Log₂(1/2) = -1

Answer 1

To rewrite Log₂(1/2) = -1 as an exponential equation, you translate it to 2-1 = 1/2, utilizing the inverse relationship between logarithms and exponentiation.

Step-by-step explanation:

To rewrite the logarithmic equation Log₂(1/2) = -1 as an exponential equation, you must use the fact that logarithms are the inverse of exponentiation. To rewrite Log₂(1/2) = -1 as an exponential equation, you translate it to 2-1 = 1/2, utilizing the inverse relationship between logarithms and exponentiation. The equation tells us that the base 2 (b = 2) raised to the power of -1 equals 1/2. Using the inverse relationship, we express this as 2-1 = 1/2.

The rewriting process involves setting the base of the logarithm (which is 2) to the power of the value on the other side of the equation (-1), and the result equals the number inside the logarithm (1/2). This process is similar to using the formulas ln (ex) = x and elnx = x, where e is the base of the natural logarithm (approximately 2.718).

Answer 2

I can’t remember how to solve this mathematically but my teacher showed me a trick. Simply move the logs base which is 2 under -1.
Any thing squared by a negative number will give you a fraction.
2^-1=1/2