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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.

 May 9, 2021
 #1
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$5 * 5^b = 5^(b+1)$

$5^(b+1)$ = $5^(4(b - 1))$

$5^(b+1)$ = $5^[4b - 4]$

$b + 1$ = $4b - 4$

$3b$ = $5$

$b$ = $5/3$

 

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 May 9, 2021
 #2
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+1

thanks ;)

Guest May 9, 2021

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