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

Explain the meaning of each of the following. (a) lim x → −4 f(x) = ∞
How many triangles can be constructed with angles measuring 10º, 80º, and 90º? A.more than one B.none C.one
What are three goods provided by the federal government?
How did the stock market collapse of 1929 affect banks?
Water is polar and oil is nonpolar. what happens when the two liquids are poured into the same container?
The zigzag road to rights what was the author trying to achieve
The apple was eaten by the boy. is that passive or active
John is choosing a password for an account. He has decided not to use the digit 0 or the letter m. And each letter or number can be used more than once. How man
A worker in an assembly line takes 7 hours to produce 28 parts. at that rate, how many parts can she produce in 35 hours?
240,000 is 90% of what number