What is the answer to 121\times 11^{x-2}=3\times 11^x-22 ?

The answer to 121\times 11^{x-2}=3\times 11^x-22 is x=1

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121\times 11^{x-2}=3\times 11^x-22

121 \cdot 1 1^{x - 2} = 3 \cdot 1 1^{x} - 22

x = 1

Solution steps

121 \cdot 1 1^{x - 2} = 3 \cdot 1 1^{x} - 22

Subtract

3 \cdot 1 1^{x}

from both sides

121 \cdot 1 1^{x - 2} - 3 \cdot 1 1^{x} = 3 \cdot 1 1^{x} - 22 - 3 \cdot 1 1^{x}

Simplify

121 \cdot 1 1^{x - 2} - 3 \cdot 1 1^{x} = - 22

Factor

121 \cdot 1 1^{x - 2} - 3 \cdot 1 1^{x} : - 2 \cdot 1 1^{x}

- 2 \cdot 1 1^{x} = - 22

Divide both sides by

- 2

1 1^{x} = 11

Apply exponent rules

x = 1

8^{- 3} = 2^{x + 5}

4^{4 - x} = \frac{1}{64}

2 = 8^{x}

a, (K^{4})^{a} = K^{20}

e^{x + 4} = \frac{1}{e}

What is the answer to 121\times 11^{x-2}=3\times 11^x-22 ?
The answer to 121\times 11^{x-2}=3\times 11^x-22 is x=1
Solve for x: 121\times 11^{x-2}=3\times 11^x-22
The solution is x=1