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3(27^x) = 27, 27^x = 9, 3^3x = 3^2, 3x = 2; x = 2/3
3(3^3x) = 3^3, 3^(3x + 1) = 3^3, 3x + 1 = 3, 3x = 2, x = 2/3.
27^x+27^x+27^x=27Or, 3.27^x=27Or, 27^x=27÷3Or, 3^3x=9=3^2Or,3x=2Or, x=2/3Or, x=
3.27^x=2727^x=93^3x=3^23x=2x=2/3
You did for 3 minutes in more steps.but requires 3 steps 30 seconds time.27^x = 93^3x = 3^23x = 2 ( powers are same when bases are same) x = 2/3 is the answer.
Solution:27^x+27^x+27^x = 27 ⟹3*27^x = 27 |/3 ⟹27^x = 9 ⟹3^(3x) = 3² |because of the same base: 3x = 2 |/3 ⟹ x = 2/3
x=2/3
2/3
27ⁿ+27ⁿ+27ⁿ=273(27ⁿ)=2727ⁿ=93³ⁿ=3²3n=2n=⅔ ❤
Too easy, I did it in my head,
Very long-winded method
X=2/3
3(27^x) = 27, 27^x = 9, 3^3x = 3^2, 3x = 2; x = 2/3
3(3^3x) = 3^3, 3^(3x + 1) = 3^3, 3x + 1 = 3, 3x = 2, x = 2/3.
27^x+27^x+27^x=27
Or, 3.27^x=27
Or, 27^x=27÷3
Or, 3^3x=9=3^2
Or,3x=2
Or, x=2/3
Or, x=
3.27^x=27
27^x=9
3^3x=3^2
3x=2
x=2/3
You did for 3 minutes in more steps.but requires 3 steps 30 seconds time.
27^x = 9
3^3x = 3^2
3x = 2 ( powers are same
when bases are same)
x = 2/3 is the answer.
Solution:
27^x+27^x+27^x = 27 ⟹
3*27^x = 27 |/3 ⟹
27^x = 9 ⟹
3^(3x) = 3² |because of the same base: 3x = 2 |/3 ⟹ x = 2/3
x=2/3
2/3
27ⁿ+27ⁿ+27ⁿ=27
3(27ⁿ)=27
27ⁿ=9
3³ⁿ=3²
3n=2
n=⅔ ❤
Too easy, I did it in my head,
Very long-winded method
2/3
X=2/3
x=2/3
2/3
X=2/3