student20202068
student20202068 student20202068
  • 12-10-2020
  • Mathematics
contestada

2^n-5×5^n-4=5

Please help me
I will mark as brainist
please do the sum in a paper and post...​

2n55n45Please help me I will mark as brainistplease do the sum in a paper and post class=

Respuesta :

Аноним Аноним
  • 12-10-2020

[tex]\huge{\fbox{\sf{n=5 }}}[/tex]

Step 1:

[tex]⇒ {2}^{n - 5} \times {5}^{n - 4} = 5[/tex]

Step 2:

[tex] ⇒{2}^{n - 5} \times {5}^{n - 4} = {5}^{1} \times {2}^{0} [/tex]

On comparing values we get:

Taking:

[tex] {2}^{n - 5} = {2}^{0} [/tex]

n-5=0

n=5✓

or

Taking:

[tex] {5}^{n - 4} = {5}^{1} [/tex]

n-4=1

n=5✓

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