Use the One-to-One Property to solve the equation for x. $5 ^ { x + 1 } = 25$
A) $x = 5$
B) $x = 1$
C) $x = 4$
D) $x = 2$
E) $x = 3$

Name: Use the One-to-One Property to solve the equation for x. $5 ^ { x + 1 } = 25$ A) $x = 5$ B) $x = 1$ C) $x = 4$ D) $x = 2$ E) $x = 3$
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Question

Use the One-to-One Property to solve the equation for x.  $5 ^ { x + 1 } = 25$ 
A) $x = 5$
B) $x = 1$
C) $x = 4$
D) $x = 2$
E) $x = 3$

Quizplus · Accepted Answer

Since $25 = 5^2$, we can rewrite the equation as $5^{x+1} = 5^2$. Using the One-to-One Property of exponential functions, which states that if $a^x = a^y$, then $x = y$, we set $x + 1 = 2$. Solving for $x$ gives $x = 1$.

Use the One-To-One Property to Solve the Equation for X 5x+1=255 ^ { x + 1 } = 255x+1=25

Use the One-To-One Property to Solve the Equation for X $5 ^ { x + 1 } = 25$