charmelonxtreme
charmelonxtreme charmelonxtreme
  • 16-09-2020
  • Mathematics
contestada

81^5=3^x What does “x” equal?

Respuesta :

Dead3ill
Dead3ill Dead3ill
  • 16-09-2020

Answer:

[tex]x =2 0[/tex]

Step-by-step explanation:

[tex] {81}^{5} = {3}^{x} [/tex]

We know that 3^4 = 81. So :

[tex] = > { ({3}^{4}) }^{5} = {3}^{x} [/tex]

[tex] = > {3}^{4 \times 5} = {3}^{x} [/tex]

[tex] = > {3}^{20} = {3}^{x} [/tex]

Here both the Right hand side & Left hand side has same base i.e. have 3 as base in both the sides.

So , eliminating the base gives :-

[tex]x = 20[/tex]

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