Question

Which expression shows log4 35
rewritten using the change of base formula?(1 point)
Responses

log 35 /log 4
Start Fraction logarithm 35 over logarithm 4 End Fraction

log 4/ log 35
Start Fraction logarithm 4 over logarithm 35 End Fraction

log 4/35
logarithm Start Fraction 4 over 35 End Fraction

log 35/4

Answer 1

The change of base formula for logarithms states that:

\[
\log_b a = \frac{\log_k a}{\log_k b}
\]

where \( k \) can be any positive number (commonly base 10 or base \( e \)).

To rewrite \( \log_4 35 \) using the change of base formula, we can choose \( k = 10 \) (common logarithm) or any other base. Thus, it becomes:

\[
\log_4 35 = \frac{\log 35}{\log 4}
\]

Therefore, the correct expression showing \( \log_4 35 \) rewritten using the change of base formula is:

**log 35 / log 4** (or **Start Fraction logarithm 35 over logarithm 4 End Fraction**)