If $f ( x ) = \ln x$, find $f \left( e ^ { 16 \ln 9 } \right)$.
A) $9 \ln 16$
B) $\ln 9$
C) $16 \ln 9$
D) $\mathrm { e } ^ { 9 }$

Question

Quizplus · Accepted Answer

The expression inside the function can be simplified using properties of logarithms and exponents: $e^{16 \ln 9} = (e^{\ln 9})^{16} = 9^{16}$. Thus, $f(e^{16 \ln 9}) = \ln(9^{16})$, which simplifies to $16 \ln 9$ using the logarithm power rule.

If f(x)=ln⁡xf ( x ) = \ln xf(x)=lnx , Find f(e16ln⁡9)f \left( e ^ { 16 \ln 9 } \right)f(e16ln9)

If $f ( x ) = \ln x$ , Find $f \left( e ^ { 16 \ln 9 } \right)$