What is the answer to 3^{2x}-10(3^x)=-9 ?

The answer to 3^{2x}-10(3^x)=-9 is x=2,x=0

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3^{2x}-10(3^x)=-9

3^{2 x} - 10 (3^{x}) = - 9

x = 2, x = 0

Solution steps

3^{2 x} - 10 (3^{x}) = - 9

Apply exponent rules

(3^{x})^{2} - 10 \cdot 3^{x} = - 9

Rewrite the equation with

3^{x} = u

(u)^{2} - 10 u = - 9

Solve

u^{2} - 10 u = - 9 : 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 : x = 0

x = 2, x = 0

8^{- x + 14} = 1 6^{x}

3 (4^{x}) + 6 (2^{x}) = 24

2^{2 x + 1} = 8

e^{2} = e^{x}

5 = 1 0^{x}

What is the answer to 3^{2x}-10(3^x)=-9 ?
The answer to 3^{2x}-10(3^x)=-9 is x=2,x=0
Solve for x: 3^{2x}-10(3^x)=-9
The solution is x=2,x=0