Logarithms are the opposite of exponents. Thus, a logarithmic equation can be converted to an equivalent exponential equation.

`log_2(8) = 3` is the same equation as `2^3 = 8`.

Any logarithmic equation has three parts:

`log_2(8) = 3` is the same equation as `2^3 = 8`.

Any logarithmic equation has three parts:

- Base of logarithm (the number written in subscript after logarithm; 2 in the above example)
- Argument of logarithm (the number written after the base in line with 'log'; 8 in the above example)
- Result (the number after the = sign; 8 in the above equation)

Similarly, any exponential equation has three parts:

- Base of exponent (2 in the above example)
- Exponent (or power, or index; 3 in the above example)
- Result (8 in the above example)

To convert a logarithmic equation to an exponential equation, we use the following concepts:

- Base of logarithm becomes base of exponent
- Argument of logarithm becomes result of exponential equation
- Result of logarithmic equation becomes exponent

Consider the logarithmic equation `log_{10}(100) = 2`,

- Base is 10
- Argument is 100
- Result is 2

According to the concepts explained above, we will change the above numbers as follows:

- Base of logarithm, 10, becomes base in the exponential equation
- Argument 100 becomes result of exponential equation
- Result of logarithmic equation, 2, becomes exponent

Thus, the equivalent exponential equation to `log_{10}(100) = 2` is `10^2 = 100`.

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