Respuesta :

Answer:

x=ln(61)/ln(4)

Step-by-step explanation:

4^x+3=64

4^x=64-3

4^x=61

x=ln(61)/ln(4)

Equation equivalent to [tex]4^{x+3} =64[/tex] is equals to [tex]2^{2x+6} = 2^{6}[/tex].

What is equivalent?

" Equivalent is defined as when two or more algebraic expression or number have same result but different representation."

According to the question,

Given equation ,

[tex]4^{x+3} =64[/tex]

Represent equation in equivalent form

[tex]4^{x+3}[/tex] ≡ [tex]2^{2x+6}[/tex]

[tex]64 =4^{3}[/tex]

Therefore,

[tex]4^{3}[/tex] ≡ [tex]2^{6}[/tex]

Hence, equation [tex]4^{x+3} =64[/tex] is equivalent to [tex]2^{2x+6} = 2^{6}[/tex] .

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