Which expression is equivalent to $$ \ln 6^{4} $$ ? Select the correct answer below: $$ 4+\ln 6 $$ $$ 6+\ln 4 $$ $$ (\ln 4)^{6} $$

Question

UpStudy AI · Accepted Answer

We start with the expression ln(6⁴). Using the logarithm power rule, ln(aᵇ) = b · ln(a), we rewrite ln(6⁴) as 4 · ln(6).

Now, let’s compare this to the provided options:

• Option 1: 4 + ln 6  
 • Option 2: 6 + ln 4  
 • Option 3: (ln 4)⁶

None of these options are equal to 4 · ln 6.

Therefore, none of the provided answers is equivalent to ln(6⁴).
None of the provided options are equivalent to $$ \ln 6^{4} $$.

Which expression is equivalent to \( \ln 6^{4} \) ? Select the correct answer below: \( 4+\ln 6 \) \( 6+\ln 4 \) \( (\ln 4)^{6} \)