Solve the equation and express the solution in exact form.
-$$\log _ { 4 } \left( \log _ { 4 } x \right) = 1$$
A) $\{ 256 \}$
B) $\{ 8 \}$
C) $\{ 16 \}$
D) $\{ 4 \}$

Question

Quizplus · Accepted Answer

To solve the equation $\log_4(\log_4 x) = 1$, we first rewrite the equation in exponential form: $4^1 = \log_4 x$. This simplifies to $4 = \log_4 x$, which means $x = 4^4 = 256$.

Solve the Equation and Express the Solution in Exact Form log⁡4(log⁡4x)=1\log _ { 4 } \left( \log _ { 4 } x \right) = 1log4​(log4​x)=1

Solve the Equation and Express the Solution in Exact Form $\log _ { 4 } \left( \log _ { 4 } x \right) = 1$