Question

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

log354
logarithm Start Fraction 35 over 4 End Fraction

log35log4
Start Fraction logarithm 35 over logarithm 4 End Fraction

log4log35
Start Fraction logarithm 4 over logarithm 35 End Fraction

log435

Answer 1

The change of base formula for logarithms states that:

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

for any positive base \(k\).

To rewrite \(\log_4 35\) using the change of base formula, you can choose a base, such as 10 or \(e\) (natural logarithm).

Using the formula, \(\log_4 35\) can be rewritten as:

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

So, the correct response is:

**Start Fraction logarithm 35 over logarithm 4 End Fraction** (or \(\frac{\log 35}{\log 4}\)).