What is the answer to 3(9^x)-10(3^x)+3=0 ?

The answer to 3(9^x)-10(3^x)+3=0 is x=1,x=-1

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3(9^x)-10(3^x)+3=0

3 (9^{x}) - 10 (3^{x}) + 3 = 0

x = 1, x = - 1

Solution steps

3 (9^{x}) - 10 (3^{x}) + 3 = 0

Apply exponent rules

(3^{x})^{2} \cdot 3^{1} - 10 \cdot 3^{x} + 3 = 0

Rewrite the equation with

3^{x} = u

(u)^{2} \cdot 3^{1} - 10 u + 3 = 0

Solve

u^{2} \cdot 3^{1} - 10 u + 3 = 0 : u = 3, u = \frac{1}{3}

u = 3, u = \frac{1}{3}

Substitute back

u = 3^{x},

solve for

x

Solve

3^{x} = 3 : x = 1

Solve

3^{x} = \frac{1}{3} : x = - 1

x = 1, x = - 1

3^{2 x + 1} + 3 = 10 (3^{x})

2 e^{12 x} = 17

2^{x} + 2 = 3264

4 - 5^{x} = 0

2 7^{x - 1} = 9^{x + 3}

What is the answer to 3(9^x)-10(3^x)+3=0 ?
The answer to 3(9^x)-10(3^x)+3=0 is x=1,x=-1
Solve for x: 3(9^x)-10(3^x)+3=0
The solution is x=1,x=-1