24y=16*6^y

Question

Help me please

Answer 1

24^y = 16*6^y

 

 

We want all terms with the exponent y on one side of equation.  Divide both sides of the equation by 6^y.

 

24^y / 6^y = 16

 

 

According to rules of exponents, when we divide a number raise to some value by another number raise to that same value, we can divide the two numbers and raise it to that value.

 

(24 / 6)^y = 16

 

4^y = 16

 

 

If we square the number 4, we get 16.  Therefore,

 

y = 2