What is the answer to 3*3^{2x}-4*3^x=-1 ?

The answer to 3*3^{2x}-4*3^x=-1 is x=0,x=-1

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33^{2x}-43^x=-1

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Solution

3 \cdot 3^{2 x} - 4 \cdot 3^{x} = - 1

Solution

x = 0, x = - 1

Solution steps

3 \cdot 3^{2 x} - 4 \cdot 3^{x} = - 1

Apply exponent rules

(3^{x})^{2} \cdot 3^{1} - 4 \cdot 3^{x} = - 1

Rewrite the equation with

3^{x} = u

(u)^{2} \cdot 3^{1} - 4 u = - 1

Solve

u^{2} \cdot 3^{1} - 4 u = - 1 : u = 1, u = \frac{1}{3}

u = 1, u = \frac{1}{3}

Substitute back

u = 3^{x},

solve for

x

Solve

3^{x} = 1 : x = 0

Solve

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

x = 0, x = - 1

Popular Examples

3^{x+2}-3^x= 8/27

3^{x + 2} - 3^{x} = \frac{8}{27}

6^{2x}=7

6^{2 x} = 7

70=5(10)^x

70 = 5 (10)^{x}

3^x-15=12

3^{x} - 15 = 12

2=1.03^t

2 = 1.0 3^{t}

Frequently Asked Questions (FAQ)

What is the answer to 3*3^{2x}-4*3^x=-1 ?
The answer to 3*3^{2x}-4*3^x=-1 is x=0,x=-1
Solve for x: 3*3^{2x}-4*3^x=-1
The solution is x=0,x=-1

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to 33^{2x}-43^x=-1 ?

Solve for x: 33^{2x}-43^x=-1

3*3^{2x}-4*3^x=-1

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to 3*3^{2x}-4*3^x=-1 ?

Solve for x: 3*3^{2x}-4*3^x=-1

33^{2x}-43^x=-1

What is the answer to 33^{2x}-43^x=-1 ?

Solve for x: 33^{2x}-43^x=-1