Solve the equation.
-$3 \cdot 5 ^ { 2 t - 1 } = 75$
A) $\{ 3 \}$
B) $\left\{ \frac { 1 } { 2 } \right\}$
C) $\left\{ \frac { 13 } { 10 } \right\}$
D) $\left\{ \frac { 3 } { 2 } \right\}$

Question

Quizplus · Accepted Answer

First, divide both sides by 3 to get $5^{2t-1} = 25$. Since $25 = 5^2$, equate the exponents: $2t - 1 = 2$. Solving for $t$, we get $2t = 3$, so $t = \frac{3}{2}$.

Solve the Equation 3⋅52t−1=753 \cdot 5 ^ { 2 t - 1 } = 753⋅52t−1=75

Solve the Equation $3 \cdot 5 ^ { 2 t - 1 } = 75$