sanviM
sanviM sanviM
  • 12-04-2021
  • Mathematics
contestada

If 5^a =625, then find the value of a.

Respuesta :

jimrgrant1 jimrgrant1
  • 12-04-2021

Answer:

a = 4

Step-by-step explanation:

note that 625 = [tex]5^{4}[/tex] , then

[tex]5^{a}[/tex] = [tex]5^{4}[/tex]

Since the bases on both sides are equal, both 5 then equate exponents, so

a = 4

Answer Link
devishri1977
devishri1977 devishri1977
  • 12-04-2021

Answer:

4

Step-by-step explanation:

Prime factorize 625

625 = 25 * 25 = 5 * 5 * 5 * 5

[tex]5^{a} = 625\\\\5^{a} = 5^{4}[/tex]

As base are same, compare the exponents

a = 4

Answer Link

Otras preguntas

during a _____ change a system absorbs energy from its surroundings
a 5 ft ladder is leaning against a 4 ft wall. how far must the bottom of the ladder be from the base of the wall so that the top of laddet rests at the top of w
An old house in Boxerville measures 30 feet in height and has windows 5 feet width. An architecture student builds a proportional model that is 3 feet high. How
The absolute value of a fraction
Are these sentences time, sequence, condition, or state? We will have completed a full week's worth of work in the forest. We will be flying to a remote part of
The first and third digit of the five digit number h6h41 are the same. Given that the number is exacley divisible by 9, what is it sum of it's five digit number
The absolute value of a fraction
how many number of strands are in DNA?
what two properties does all matter share?
What can be what is the answer to 49 divided by ? = ? But the answer cannot be 7