Solve the equation.
-$\log _ { 4 } ( x - 5 ) = 4$
A) 11
B) 21
C) 261
D) 251

Name: Solve the equation. -$\log _ { 4 } ( x - 5 ) = 4$ A) 11 B) 21 C) 261 D) 251
Brand: Quizplus
Rating: 5.0 (28 reviews)

Question

Quizplus · Accepted Answer

To solve the equation $\log _ { 4 } ( x - 5 ) = 4$, we convert the logarithmic equation to its exponential form: $4^4 = x - 5$. Calculating $4^4$ gives $256$, so $256 = x - 5$. Adding 5 to both sides gives $x = 261$.

Solve the Equation log⁡4(x−5)=4\log _ { 4 } ( x - 5 ) = 4log4​(x−5)=4

Solve the Equation $\log _ { 4 } ( x - 5 ) = 4$