In mathematics, we know that the logarithm log_b(a) = n, it can be expressed in exponential form as b^n = a.
In this particular case, we have log_10(3) = 0.477. This logarithm equation is equivalent to the following statement in exponential form:
Step 1: Recognize the base of the logarithm, which in this case is 10.
Step 2: The logarithm log_10(3) = 0.477 implies base 10 raised to what power equals 3.
Step 3: Apply the principle of converting a logarithm into exponential form: if log_b(a) = n then b^n = a.
Step 4: In our case, the base b is 10, the value a is 3, and the logarithm n is 0.477.
Now, put these values in the form b^n = a.
Hence, we now write the statement log_10(3) = 0.477 as 10^0.477 = 3.
The exponential form 10^0.477 = 3 is equivalent to the original logarithmic statement log_10(3) = 0.477. This translates to "10 raised to the power of 0.477 equals 3".