Solve the equation and express the solution in exact form.
-$$\log _ { 3 } \left( \log _ { 3 } x \right) = 1$$
A) $\{ 27 \}$
B) $\{ 6 \}$
C) $\{ 9 \}$
D) $\{ 3 \}$

Question

Quizplus · Accepted Answer

To solve the equation $\log_3(\log_3 x) = 1$, we first rewrite the equation in exponential form: $3^1 = \log_3 x$, which simplifies to $3 = \log_3 x$. Again, converting to exponential form gives $x = 3^3$, which simplifies to $x = 27$.

Solve the Equation and Express the Solution in Exact Form log⁡3(log⁡3x)=1\log _ { 3 } \left( \log _ { 3 } x \right) = 1log3​(log3​x)=1

Solve the Equation and Express the Solution in Exact Form $\log _ { 3 } \left( \log _ { 3 } x \right) = 1$