Add exponents of equal bases to multiply. On the left, you get 3^3x. The nth root of a base equals to the exponent * n power yields the same value. 27^y becomes 3^3y. 3^3x=3^3y. The cube root of each side gives 3^x=3^y. Take the base 3 log of each side and x=y.
I totally screwed this one up. For some reason, I kept trying to multiply exponents when I should have been adding (I swear, I know better, I just had a brain fart).
I solved it in my head and was wondering what kind of a certificate I'd get from you for this tricky problem BUT no, nothing at all. No like from me this time.
Add exponents of equal bases to multiply. On the left, you get 3^3x.
The nth root of a base equals to the exponent * n power yields the same value. 27^y becomes 3^3y.
3^3x=3^3y.
The cube root of each side gives 3^x=3^y.
Take the base 3 log of each side and x=y.
(X - 1) + (2X + 1) = 3Y => 3X = 3Y => X = Y. :) (27 = 3^3 and you have to add the powers X - 1 and 2X + 1 (for example: 3^3 x 3^2 = 3^3 + 2 = 3^5).
3^a . 3^b = 3^(3y) so a + b = 3y or x - 1 + 2x + 1 = 3y -> 3x = 3y -> y = x
a) x 3^3x=27^x=27^y, so y=x
got it 3x = 3y the exponents are = so x = y thanks for the fun.
I totally screwed this one up. For some reason, I kept trying to multiply exponents when I should have been adding (I swear, I know better, I just had a brain fart).
Mathematicians rock! ❤
a) y = x
The answer is X which is choice A
a) x
Non logical axioms
I solved it in my head and was wondering what kind of a certificate I'd get from you for this tricky problem BUT no, nothing at all. No like from me this time.
3y=3×
Y =×