Question

Which of the following is the equation written in logarithmic form?

Answer 1

Given the expression $b^{3c+1}=5a-d.$

Take a logarithm $\log_b$ from both side of the given expression:

$\log_b b^{3c+1}=\log_b (5a-d).$

From the property $\log_a a^x=x,$ you have that

$\log_b b^{3c+1}=3c+1.$

Then

$3c+1=\log_b (5a-d).$

Answer: correct choice is C