What is the answer to 3*9^x+8*3^x-3=0 ?

The answer to 3*9^x+8*3^x-3=0 is x=-1

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39^x+83^x-3=0

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Solution

3 \cdot 9^{x} + 8 \cdot 3^{x} - 3 = 0

Solution

x = - 1

Solution steps

3 \cdot 9^{x} + 8 \cdot 3^{x} - 3 = 0

Apply exponent rules

(3^{x})^{2} \cdot 3^{1} + 8 \cdot 3^{x} - 3 = 0

Rewrite the equation with

3^{x} = u

(u)^{2} \cdot 3^{1} + 8 u - 3 = 0

Solve

u^{2} \cdot 3^{1} + 8 u - 3 = 0 : u = \frac{1}{3}, u = - 3

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

Substitute back

u = 3^{x},

solve for

x

Solve

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

Solve

3^{x} = - 3 :

No Solution for

x \in R

x = - 1

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Frequently Asked Questions (FAQ)

What is the answer to 3*9^x+8*3^x-3=0 ?
The answer to 3*9^x+8*3^x-3=0 is x=-1
Solve for x: 3*9^x+8*3^x-3=0
The solution is x=-1

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to 39^x+83^x-3=0 ?

Solve for x: 39^x+83^x-3=0

3*9^x+8*3^x-3=0

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to 3*9^x+8*3^x-3=0 ?

Solve for x: 3*9^x+8*3^x-3=0

39^x+83^x-3=0

What is the answer to 39^x+83^x-3=0 ?

Solve for x: 39^x+83^x-3=0