9 over 3x = 4 over x + 2

The equation that we have been given is:

 =  

In order to solve for the value of 'x', we'll have to use cross-multiplication.

Cross-multiplication is a method in which the numerator of one fraction is multiplied by the denominator of another fraction that it is equal to.

Let's cross-mutliply the numerators and denominators:

 =  

9*(x+2) = 4*(3x)

Distribute the numbers into the parentheses.

9x + 18 = 12x

Simplify by subtracting both sides by 9x:

9x - 9x + 18 = 12x - 9x

0 + 18 = 3x

18 = 3x

3x = 18

Divide both sides by 3:

=

x = 6

Let me know if you'd like me to explain anything I did here.

- breezyツ

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.