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

100 e^{- 0.6 x} = 20

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

0.2 = 0.9 9^{x}

25 (10)^{2 t} = 208

6 e^{4 x} - 2 = 3

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