Question

help plzz ...to all the geniuses!​

Answer 1

Answer:

3^x/1+3^x=1/3

3*3^x=1+3^x

2*3^x=1

3^x=1/2

____________

27^x/(1-27^x) =(3^x) ³/(1-(3^x) ³) =(1/2) ³/(1-(1/2) ³=

=(1/8) /(7/8) =1/7

Answer 2

Answer:

x = -ln(3)/ln(2)

Step-by-step explanation:

Now lets just solve this step by step:

Okay so first we need to find x, we can do this by cross multiplying the terms on the first equation

$3^{x} * 3 = 1 * (1 + 3^{x} )$

Now lets simplify it:

$3^{x+1} = 1 + 3^{x} \\3^{x+1}-3^{x} = 1\\2 * 3^{x} = 1\\\frac{2 * 3*{x}}{2} = \frac{1}{2} \\3^{x} = 1/2\\ln(3^{x}) = ln(1/2)\\x = -\frac{ln(3)}{ln(2)}$