Question

cat este x în :
$( \frac{4}{5} ) { \\ }^{4x + 3} = 125 { \\ }^{1 - log_{5}4 }$
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Answer 1

Răspuns:

Explicație pas cu pas:

(4/5)^3*(4/5)^4x = 5^3/(5^3)^log5(4)

(5^3)^log5(4) = 5^log5(4^3) = 4^3    (a^loga(b) = b)

(4/5)^3*(4/5)^4x = 5^3/4^3 = (5/4)^3

((5/4)^3)*(4/5)^3*(4/5)^4x = 1

(4/5)^4x = 1 = (4/5)^0

4x = 0,  x = 0