What is the answer to (3x+16)/(2^x)=0 ?

The answer to (3x+16)/(2^x)=0 is x=-16/3

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(3x+16)/(2^x)=0

\frac{3 x + 16}{2 ^{x}} = 0

x = - \frac{16}{3}

Decimal Notation

x = - 5.33333 \dots

Solution steps

\frac{3 x + 16}{2 ^{x}} = 0

Apply exponent rules

(3 x + 16) \cdot 2^{- x} = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

3 x + 16 = 0 or 2^{- x} = 0

Solve

3 x + 16 = 0 : x = - \frac{16}{3}

Solve

2^{- x} = 0 :

No Solution for

x \in R

Verify Solutions:

x = - \frac{16}{3}

True

The solution is

x = - \frac{16}{3}

3^{2 x + 1} = 2^{x}

3^{x - 1} = \frac{3}{27}

e^{3 a} = 8

8^{x - 3} = 4^{3 x - 1}

e^{3 x - 2} = 1

What is the answer to (3x+16)/(2^x)=0 ?
The answer to (3x+16)/(2^x)=0 is x=-16/3
Solve for x: (3x+16)/(2^x)=0
The solution is x=-16/3