Answer:
y = 0
Step-by-step explanation:
It is always a good idea to look at the question and make some observations about it. Here, you might observe ...
- all of the bases are powers of 3: 243 = 3^5; 9 = 3^2
- y is a factor of every exponent
The latter observation is important, because it means that when y=0, every exponential expression has a value of 1. Hence y = 0 is a solution.
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To solve the equation, you can write it in terms of powers of 3.
(3^5)^(-y) = (3^-5)^(3y)·(3^2)^(-2y)
3^(-5y) = 3^(-15y)·3^(-4y)
3^(-5y) = 3^(-19y)
-5y = -19y . . . . . . . . equating exponents; equivalent to taking log base 3
14y = 0 . . . . . . . . . . add 19y
y = 0 . . . . . . . . . . . one solution
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The rules of exponents we used are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
1/a^b = a^-b
Answer:
x < -33 ( mark me as the brainliest )
Step-by-step explanation:
1) -4x > 132
2) -4x/4 > 132/-4
3) x < -33
Answer:
1
Step-by-step explanation:
The smallest positive factor is 1
But not 0 because 0 is not positive nor negative
Answer:the third one .38x+2.59
Step-by-step explanation:
No amount of donuts yet so that’s why it’s x and there’s a regular fee of 2.59 so that’s why it’s the answer
We have to find sin^(-1) ( cos π ).
cos π = cos 180° = - 1
sin^(-1) ( - 1 ) = 270° = 3 π / 2
Answer:
sin ^
sin^(-1)( cos π ) = 3 π / 2