What is the answer to 3^{x+2}-10*3^x+9=0 ?

The answer to 3^{x+2}-10*3^x+9=0 is x=2

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3^{x+2}-10*3^x+9=0

3^{x + 2} - 10 \cdot 3^{x} + 9 = 0

x = 2

Solution steps

3^{x + 2} - 10 \cdot 3^{x} + 9 = 0

Factor

3^{x + 2} - 10 \cdot 3^{x} + 9 : - 3^{x} + 9

- 3^{x} + 9 = 0

Add

3^{x}

to both sides

- 3^{x} + 9 + 3^{x} = 0 + 3^{x}

Simplify

9 = 3^{x}

Apply exponent rules

2 = x

Switch sides

x = 2

9 e^{5 x} = 100

32 = 1 6^{x - 1}

0. 8^{x} = 0.4

0. 8^{x} = 0.5

e^{3.7 t} = 9.7

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