To rewrite the equation \( a^{(2b + 1)} = 3c - d \) in logarithmic form, we can use the definition of a logarithm which states that if \( a^x = y \), then \( \log_a(y) = x \).
In this case, we can identify:
- \( a \) as the base,
- \( 2b + 1 \) as the exponent,
- \( 3c - d \) as the resultant value.
Using this information, we can convert the equation into logarithmic form:
\[ \log_a(3c - d) = 2b + 1 \]
Therefore, the correct answer from the choices given is:
log subscript a baseline left parenthesis 3 c minus d right parenthesis equals 2 b plus 1.
1 answer