What is the answer to 10^{x^2+8x+1}=1 ?

The answer to 10^{x^2+8x+1}=1 is x=-4+sqrt(15),x=-4-sqrt(15)

Solve for x: 10^{x^2+8x+1}=1

The solution is x=-4+sqrt(15),x=-4-sqrt(15)

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1 0^{x^{2} + 8 x + 1} = 1

x = - 4 + 15, x = - 4 - 15

Decimal Notation

x = - 0.12701 \dots, x = - 7.87298 \dots

Solution steps

1 0^{x^{2} + 8 x + 1} = 1

Apply exponent rules

(x^{2} + 8 x + 1) ln (10) = ln (1)

Solve

(x^{2} + 8 x + 1) ln (10) = ln (1) : x = - 4 + 15, x = - 4 - 15

x = - 4 + 15, x = - 4 - 15

e^{2 x} - e^{x} - 2 = 0

3 2^{- 9 x + 9} = 16

4^{3 x + 2} = 32

3125 = 5^{- 10 + 3 x}

2^{x} + 2^{- x} = 10

What is the answer to 10^{x^2+8x+1}=1 ?
The answer to 10^{x^2+8x+1}=1 is x=-4+sqrt(15),x=-4-sqrt(15)
Solve for x: 10^{x^2+8x+1}=1
The solution is x=-4+sqrt(15),x=-4-sqrt(15)