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If 5^(x-1) = 25, what is the value of x?
If 5^(x-1) = 25, what is the value of x?
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Practice Questions
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If 5^(x-1) = 25, what is the value of x?
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Since 25 = 5^2, we have 5^(x-1) = 5^2, thus x - 1 = 2, giving x = 3.
Questions & Step-by-step Solutions
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Q
Q: If 5^(x-1) = 25, what is the value of x?
Solution:
Since 25 = 5^2, we have 5^(x-1) = 5^2, thus x - 1 = 2, giving x = 3.
Steps: 6
Show Steps
Step 1: Start with the equation 5^(x-1) = 25.
Step 2: Recognize that 25 can be rewritten as 5^2.
Step 3: Replace 25 in the equation with 5^2, so now we have 5^(x-1) = 5^2.
Step 4: Since the bases (5) are the same, we can set the exponents equal to each other: x - 1 = 2.
Step 5: Solve for x by adding 1 to both sides of the equation: x = 2 + 1.
Step 6: Therefore, x = 3.
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