Final answer:
To convert a logarithmic form to exponential form, restate the log equation as a base raised to the power of the log value equals the number. For the common logarithm log(x) = y, this is 10^y = x, and for the natural logarithm ln(x) = y, it is e^y = x.
Step-by-step explanation:
To convert logarithmic form to exponential form, you can use the basic definition of a logarithm. The logarithm is simply the exponent to which a specified base must be raised to yield a certain number. For example, if we have logb(x) = y, this means that by = x. Here, b is the base of the logarithm, y is the logarithmic value, and x is the number you get when you raise b to the power of y.
Let's consider the common logarithm of 100, which is log(100) = 2. This means that 10 must be raised to the power of 2 to equal 100, or simply 102 = 100. Likewise, in terms of natural logarithms, if you have ln(x) = y, then ey = x, where e is the base of the natural logarithm and approximately equal to 2.71828.
To convert logarithmic form to exponential form, you need to remember that logarithms and exponentials are inverse operations. The logarithmic form, logb(x) = y, can be converted to exponential form as by = x. For example, if log2(8) = 3, then 23 = 8.