What is the answer to 2^k+2^k=2^{k+1} ?

The answer to 2^k+2^k=2^{k+1} is True for all k

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2^k+2^k=2^{k+1}

2^{k} + 2^{k} = 2^{k + 1}

True for all k

Solution steps

2^{k} + 2^{k} = 2^{k + 1}

Subtract

2^{k + 1}

from both sides

2^{k} + 2^{k} - 2^{k + 1} = 2^{k + 1} - 2^{k + 1}

Simplify

2 \cdot 2^{k} - 2^{k + 1} = 0

Add

2^{k + 1}

to both sides

2 \cdot 2^{k} - 2^{k + 1} + 2^{k + 1} = 0 + 2^{k + 1}

Simplify

2 \cdot 2^{k} = 2^{k + 1}

Apply exponent rules

k + 1 = k + 1

Both sides are equal

True for all k

8 = 4^{- x + 4}

4 9^{x - 1} = 77

4^{3 - x} = \frac{1}{16}

(3^{x})^{8} = \frac{1}{81}

3^{2 z - 1} = 243

What is the answer to 2^k+2^k=2^{k+1} ?
The answer to 2^k+2^k=2^{k+1} is True for all k
Solve for k: 2^k+2^k=2^{k+1}
The solution is True for all k