EmmaMoore5072 EmmaMoore5072
  • 01-12-2018
  • Mathematics
contestada

solve for b

8 to the power of b-1=2 to the power of 4b+4 or if it is easier for you to understand this way 8^b-1=2^4b+4

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jimrgrant1 jimrgrant1
  • 01-12-2018

Answer:

b = - 7

Step-by-step explanation:

note that 8 = 2³, hence

( 2³)^(b - 1) = [tex]2^{4b+4}[/tex]

since the bases on both sides of the equation are 2, equate the exponents

4b + 4 = 3b - 3 ( subtract 3b from both sides )

b + 4 = - 3 ( subtract 4 from both sides )

b = - 7


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neonbluefaith
neonbluefaith neonbluefaith
  • 25-11-2019

I'm just here to confirm that -7 is the right answer.

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