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

Respuesta :

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


Answer Link
neonbluefaith
neonbluefaith neonbluefaith
  • 25-11-2019

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

Answer Link

Otras preguntas

The specific temperature at which a substance changes from a liquid to a gas is an example of a
Why was FDR's Court Packing Plan a mistake?
[(24+16) divided by 8 times 5)]=? Please answer pllleeeaaaasee.
What positive and negative traits does Odysseus demonstrate in his adventure with the Cyclop's?
A registered nurse (RN) pays 5% simple interest on a $175,000 mortgage for the construction of a house. What is the yearly interest paid on the mortgage?
one way in whick Robespierre and Louis XVI of France are similar is that both
what does the expression "what ever floats your boat" mean?
What effects did the battle of bunker hill have?
What do you think was the most serious problem faced by settlers in Virginia? Why?
factoring-16w²+50wz-21z²  please help me solve