Find the exact solution to the equation 3X+5 =9X?

Question

The question should actually read 3^(x+5) = 9x

Answer 1

X=5/6

Answer 2

x=5/6

Answer 3

hi a) 3^(2x) = 3^2 * 3^x = 9*3^x 9*3^x + 5*3^x = 14*3^x 14*3^x = 6 3^x = 6/14 = 3/7 log 3^x = log 3 - log 7 x log 3 = log 3 - log 7 log 7 = log 3 - x log 3 log 7 = log 3 (a million - x) (a million - x) = log 7 / log 3 = a million.7712 - x = 0.7712 x = -0.7712 b) assume it is 8^(x-2) log 2^(x-3) = log 4 + log 8^(x-2) (x-3)*log 2 = log 4 + (x-2)*log 8 (x-3)*log 2 = log 2^2 + (x-2)*log 2^3 (x-3)*log 2 = 2*log 2 + 3(x-2)*log 2 divide all via log 2 (x-3) = 2 + 3(x-2) x - 3 = 2 + 3x - 6 6 - 2 - 3 = 3x - x a million = 2x x = a million/2 c) rules making use of right here : If a = b, e^a = e^b e^(a+b) = e^a * e^b e^log n = n e^log3(x+a million) = e^2 * e^log3(x-a million) 3(x+a million) = e^2 * 3(x-a million) (x + a million) = e^2*(x - a million) x + a million = 5.88x - 5.88 5.88x - x = 5.88 + a million x(4.88) = 6.88 x = a million.40-one wish it helped NB if log3(x+a million) means log in base 3, look on the respond of Ed l Bye !

Answer 4

3x + 5 = 9x

3x + 5 - 3x = 9x - 3x

5 = 6x

5/6 = 6x/6

5 / 6 = x

The answer is x - 5 / 6

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Check

3x + 5 = 9 x

3(5/6) + 5 = 9(5/6

15/6 + 5 = 45/6

15/6 + 5/1 = 45/6

15/6 + 30/6 = 7.5...Common denominator is 6

45/6 = 7.5

7.5 = 7.5

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Answer 5

3X+5 =9X?
5 = 6x
x = 5/6

Answer 6

3x+5=9x
6x= 5
x = 5/6

Answer 7

3x + 5 = 9x
-5 -5

3x = 9x - 5
-9x

3x-9x = -5
-6x = -5

x= 5/6

Answer 8

3x + 5 = 9x (Subtract 3x from both sides)
6x = 5 (Divide both sides by 6)
x = 5/6
QED

Answer 9

5 = 9x-3x
5 = 6x
x = 5/6

Answer 10

3X + 5 = 9X
5= 9X-3X
5=6X
X=5/6.