What is the answer to 5^x-6(sqrt(5))^x+5=0 ?

The answer to 5^x-6(sqrt(5))^x+5=0 is x=2,x=0

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5^x-6(sqrt(5))^x+5=0

5^{x} - 6 (5)^{x} + 5 = 0

x = 2, x = 0

Solution steps

5^{x} - 6 (5)^{x} + 5 = 0

Apply exponent rules

5^{x} - 6 5^{x} + 5 = 0

Rewrite the equation with

5^{x} = u

u - 6 u + 5 = 0

Solve

u - 6 u + 5 = 0 : u = 25, u = 1

u = 25, u = 1

Substitute back

u = 5^{x},

solve for

x

Solve

5^{x} = 25 : x = 2

Solve

5^{x} = 1 : x = 0

x = 2, x = 0

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

7^{x} = \frac{1}{49}

e^{(- x + 1)} = 15

8^{6 x^{2} + 4 x} = 4^{9 x^{2} - 9 x + 6}

0. 1^{x} = 10

What is the answer to 5^x-6(sqrt(5))^x+5=0 ?
The answer to 5^x-6(sqrt(5))^x+5=0 is x=2,x=0
Solve for x: 5^x-6(sqrt(5))^x+5=0
The solution is x=2,x=0