What is the answer to 6*2^x=64+2*2^x ?

The answer to 6*2^x=64+2*2^x is x=4

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62^x=64+22^x

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Solution

6 \cdot 2^{x} = 64 + 2 \cdot 2^{x}

Solution

x = 4

Solution steps

6 \cdot 2^{x} = 64 + 2 \cdot 2^{x}

Apply exponent rules

6 \cdot 2^{x} = 64 + 2^{x + 1}

Subtract

2^{x + 1}

from both sides

6 \cdot 2^{x} - 2^{x + 1} = 64 + 2^{x + 1} - 2^{x + 1}

Simplify

6 \cdot 2^{x} - 2^{x + 1} = 64

Factor

6 \cdot 2^{x} - 2^{x + 1} : 2^{2 + x}

2^{2 + x} = 64

Apply exponent rules

2 + x = 6

Solve

2 + x = 6 : x = 4

x = 4

Popular Examples

2^{5k+3}=3^{550}

2^{5 k + 3} = 3^{550}

solvefor b,a^b=144a-1 solve for

b, a^{b} = 144 a - 1

8^x=32^{2x+2}

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

(3^{x/2}+3)/(3^{x/2)}=4

\frac{3 ^{\frac{x}{2}} + 3}{3 ^{\frac{x}{2}}} = 4

2^t=0

2^{t} = 0

Frequently Asked Questions (FAQ)

What is the answer to 6*2^x=64+2*2^x ?
The answer to 6*2^x=64+2*2^x is x=4
Solve for x: 6*2^x=64+2*2^x
The solution is x=4

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to 62^x=64+22^x ?

Solve for x: 62^x=64+22^x

6*2^x=64+2*2^x

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to 6*2^x=64+2*2^x ?

Solve for x: 6*2^x=64+2*2^x

62^x=64+22^x

What is the answer to 62^x=64+22^x ?

Solve for x: 62^x=64+22^x