Question

Solve 5^x = 125 using the one-to-one property of exponents.

Answer 1

Step 1

Using the one to one property

`\begin{gathered} \text{for a>0 and a}\\e1 \\ a^x=a^y\text{ } \\ x=y \end{gathered}`

Step 2

Find the value of x

`\begin{gathered} 5^x=125 \\ 5^x^{}=5^3 \\ \end{gathered}`
`\begin{gathered} \text{Clear the base 5 from both sides} \\ x=3 \end{gathered}`

Answer: x = 3