Solve the equation.
-$2401 ^ { x } = 7$
A) $\{ 4 \}$
B) $\left\{ \frac { 1 } { 4 } \right\}$
C) $\{ - 4 \}$
D) $\left\{ - \frac { 1 } { 4 } \right\}$

Name: Solve the equation. -$2401 ^ { x } = 7$ A) $\{ 4 \}$ B) $\left\{ \frac { 1 } { 4 } \right\}$ C) $\{ - 4 \}$ D) $\left\{ - \frac { 1 } { 4 } \right\}$
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Question

Quizplus · Accepted Answer

$2401 = 7^4$, so $2401^x = 7$ can be rewritten as $(7^4)^x = 7^1$. This simplifies to $7^{4x} = 7^1$, leading to $4x = 1$, which means $x = \frac{1}{4}$.

Solve the Equation 2401x=72401 ^ { x } = 72401x=7 A) {4}\{ 4 \}{4}

Solve the Equation $2401 ^ { x } = 7$ A) $\{ 4 \}$