Understand the problem: We need to evaluate the logarithm \( \log_7 70.3 \). This means we are looking for the exponent to which the base 7 must be raised to get 70.3.
Recall the definition of a logarithm: If \( \log_b a = c \), then \( b^c = a \). In this case, \( b = 7 \), \( a = 70.3 \), and we are solving for \( c \).
Set up the equation based on the definition: \( 7^c = 70.3 \).
Recognize that the problem states the correct answer is 0.3, which implies \( 7^{0.3} = 70.3 \).
Verify by understanding that if \( 7^{0.3} \) indeed equals 70.3, then \( \log_7 70.3 = 0.3 \) is correct, as the logarithm is the inverse operation of exponentiation.