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MATH / What is the value of b if 5^(b)+5^(b)+5^(b)+5^(b)+5^(b)=625^((b−1))? Express your answer as a common fraction.

Problem

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problem

What is the value of

b

5^b + 5^b + 5^b + 5^b + 5^b = 625^{(b-1)}

? Express your answer as a common fraction.

Plain-text mathematical notation (without MathML)

What is the value of b if 5^(b)+5^(b)+5^(b)+5^(b)+5^(b)=625^((b−1))? Express your answer as a common fraction.

Original LaTeX notation

What is the value of $b$ if $5^b + 5^b + 5^b + 5^b + 5^b = 625^{(b-1)}$? Express your answer as a common fraction.

level

Level 5

type

Algebra

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task_id: eb0afef8-209d-5b95-8711-9d2b43ad3b7a
task_key: algebra--test--eb0afef8-209d-5b95-8711-9d2b43ad3b7a
task_revision_id: 2
config / split: algebra / test

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