Write the exponential equation as an equation involving a logarithm.
-$$9 ^ { \mathrm { X } } = 81$$
A) $\log _ { X } 81 = 9$
B) $\log _ { 81 } 9 = x$
C) $\log _ { 81 } x = 9$
D) $\log _ { 9 } 81 = x$

Question

Quizplus · Accepted Answer

To convert the exponential equation $9^x = 81$ to a logarithmic form, we use the definition of logarithms: if $a^b = c$, then $\log_a c = b$. Applying this to the given equation, we get $\log_9 81 = x$.

Write the Exponential Equation as an Equation Involving a Logarithm 9X=819 ^ { \mathrm { X } } = 819X=81

Write the Exponential Equation as an Equation Involving a Logarithm $9 ^ { \mathrm { X } } = 81$