31.9375=(16(0.5^n)/0.5)

Solution for 31.9375=(16(0.5^n)/0.5) equation:

31.9375=(16(0.5^n)/0.5)

We move all terms to the left:

31.9375-((16(0.5^n)/0.5))=0

We multiply all the terms by the denominator


-((16(0.5^n)+(31.9375)*0.5))=0


We calculate terms in parentheses: -((16(0.5^n)+(31.9375)*0.5)), so:

(16(0.5^n)+(31.9375)*0.5)


We calculate terms in parentheses: +(16(0.5^n)+(31.9375)*0.5), so:

16(0.5^n)+(31.9375)*0.5

We add all the numbers together, and all the variables

16(0.5^n)+15.96875

We multiply parentheses

0n+15.96875

We add all the numbers together, and all the variables

n+15.96875

Back to the equation:

+(n+15.96875)


We get rid of parentheses

n+15.96875

Back to the equation:

-(n+15.96875)


We get rid of parentheses

-n-15.96875=0

We add all the numbers together, and all the variables

-1n-15.96875=0

We move all terms containing n to the left, all other terms to the right

-n=15.96875

n=15.96875/-1

n=-15+0.96875/1