What is the answer to 18^x-8*6^x-9*2^x=0 ?

The answer to 18^x-8*6^x-9*2^x=0 is x=2

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Popular >

18^x-86^x-92^x=0

Solution

1 8^{x} - 8 \cdot 6^{x} - 9 \cdot 2^{x} = 0

Solution

x = 2

Solution steps

1 8^{x} - 8 \cdot 6^{x} - 9 \cdot 2^{x} = 0

Divide both sides by

2^{x}

\frac{1 8 ^{x}}{2 ^{x}} - \frac{8 \cdot 6 ^{x}}{2 ^{x}} - \frac{9 \cdot 2 ^{x}}{2 ^{x}} = \frac{0}{2 ^{x}}

Simplify

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

Apply exponent rules

(3^{x})^{2} - 8 \cdot 3^{x} - 9 = 0

Rewrite the equation with

3^{x} = u

(u)^{2} - 8 u - 9 = 0

Solve

u^{2} - 8 u - 9 = 0 : u = 9, u = - 1

u = 9, u = - 1

Substitute back

u = 3^{x},

solve for

x

Solve

3^{x} = 9 : x = 2

Solve

3^{x} = - 1 :

No Solution for

x \in R

x = 2

Popular Examples

2^x=3^{x+1}

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

2^x*2^4=2^{2x}

2^{x} \cdot 2^{4} = 2^{2 x}

3^{x-1}=2^x

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

5^{2x^2-3x-2}=1

5^{2 x^{2} - 3 x - 2} = 1

8^x=16

8^{x} = 16

Frequently Asked Questions (FAQ)

What is the answer to 18^x-8*6^x-9*2^x=0 ?
The answer to 18^x-8*6^x-9*2^x=0 is x=2
Solve for x: 18^x-8*6^x-9*2^x=0
The solution is x=2

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to 18^x-86^x-92^x=0 ?

Solve for x: 18^x-86^x-92^x=0

18^x-8*6^x-9*2^x=0

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to 18^x-8*6^x-9*2^x=0 ?

Solve for x: 18^x-8*6^x-9*2^x=0

18^x-86^x-92^x=0

What is the answer to 18^x-86^x-92^x=0 ?

Solve for x: 18^x-86^x-92^x=0