giúp em với 3 mũ x + 3 mũ x+2 = 810 3 mũ x . 3mux 3 = 81 15/07/2021 Bởi Jasmine giúp em với 3 mũ x + 3 mũ x+2 = 810 3 mũ x . 3mux 3 = 81
Em tham khảo! $3^{x}$ $+$ $3^{x+2}$ $=$ $810$⇒ $3^{x}$ $+$ $3^{x}$ $.$ $3^{2}$ $=$ $810$⇒ $3^{x}$ $.$ $($ $1$ $+$ $3^{2}$ $)$ $=$ $810$⇒ $3^{x}$ $.$ $10$ $=$ $810$⇒ $3^{x}$ $=$ $810$ $:$ $10$⇒ $3^{x}$ $=$ $81$⇒ $3^{x}$ $=$ $3^{4}$⇒ $x$ $=$ $4$$3^{x}$ $.$ $3^{3}$ $=$ $81$⇒ $3^{x}$ $.$ $27$ $=$ $81$⇒ $3^{x}$ $=$ $81$ $:$ $27$⇒ $3^{x}$ $=$ $3$⇒ $x$ $=$ $3$$FbBinhne2k88$ Bình luận
`a, 3^x+3^{x+2}=810` `<=>3^x+3^x*9=810` `<=>3^x(1+9)=810` `<=>3^x*10=810` `<=>3^x=3^4` `<=>x=4` Vậy `x=4` `b,3^x*3^3=81` `<=>3^x*3^3=3^4` `<=>3^x=3^4:3^3` `<=>3^x=3` `<=>x=1` Vậy `x=1` Bình luận
Em tham khảo!
$3^{x}$ $+$ $3^{x+2}$ $=$ $810$
⇒ $3^{x}$ $+$ $3^{x}$ $.$ $3^{2}$ $=$ $810$
⇒ $3^{x}$ $.$ $($ $1$ $+$ $3^{2}$ $)$ $=$ $810$
⇒ $3^{x}$ $.$ $10$ $=$ $810$
⇒ $3^{x}$ $=$ $810$ $:$ $10$
⇒ $3^{x}$ $=$ $81$
⇒ $3^{x}$ $=$ $3^{4}$
⇒ $x$ $=$ $4$
$3^{x}$ $.$ $3^{3}$ $=$ $81$
⇒ $3^{x}$ $.$ $27$ $=$ $81$
⇒ $3^{x}$ $=$ $81$ $:$ $27$
⇒ $3^{x}$ $=$ $3$
⇒ $x$ $=$ $3$
$FbBinhne2k88$
`a, 3^x+3^{x+2}=810`
`<=>3^x+3^x*9=810`
`<=>3^x(1+9)=810`
`<=>3^x*10=810`
`<=>3^x=3^4`
`<=>x=4`
Vậy `x=4`
`b,3^x*3^3=81`
`<=>3^x*3^3=3^4`
`<=>3^x=3^4:3^3`
`<=>3^x=3`
`<=>x=1`
Vậy `x=1`