codeonichedgehog
codeonichedgehog codeonichedgehog
  • 19-01-2021
  • Mathematics
contestada

Which of the following is the solution to the equation 25^(z − 4) = 125?
A.) z = 5.5
B.) z = 3.5
C.) z = −2.5
D.) z = −0.5

Respuesta :

abidemiokin
abidemiokin abidemiokin
  • 24-01-2021

Answer:

5.5

Step-by-step explanation:

Given the equation 25^(z − 4) = 125, this can also be written as;

[tex]5^{2(z-4)} = 5^3\\2(z-4) = 3\\2z - 8 = 3\\2z = 3+8\\2z = 11\\z = 11/2\\z = 5.5[/tex]

Hence the value of z is 5.5

Answer Link

Otras preguntas

At his trucking company, Paul received an order to ship 126 cubic feet of oil in cylindrical steel barrels. If each barrel has a radius of 1.2 feet and is 3 fee
In 1949, Sycamore, Illinois built a hospital for about $500,000. In 1987, the county restored the courthouse for about $1.7 million. A price index for nonreside
Are budgets part of the performance measurement system or the performance reward system? a. Part of both the performance measurement system and the performance
why are we still here?
3х+бу = 9 . X and y intercept
A section of this dna molecule that codes for a specific inherited trait is called a
-2x + y=9 -4x - y=9 What is the answer
need help for chemistry
Kebt Corporation's Class Semi bonds have a 12-year maturity and an 8.75% coupon paid semiannually (4.375% each 6 months), and those bonds sell at their $1,000 p
Four gases were combined in a gas cylinder with these partial pressures: 3.5 atm N2, 2.8 atm O2, 0.25 atm Ar, and 0.15 atm He. What is the total pressure inside