What is the answer to 4*5^x+25=5^{x+1}-4*5^{x-1} ?

The answer to 4*5^x+25=5^{x+1}-4*5^{x-1} is x=3

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45^x+25=5^{x+1}-45^{x-1}

Solution

4 \cdot 5^{x} + 25 = 5^{x + 1} - 4 \cdot 5^{x - 1}

Solution

x = 3

Solution steps

4 \cdot 5^{x} + 25 = 5^{x + 1} - 4 \cdot 5^{x - 1}

Subtract

4 \cdot 5^{x}

from both sides

4 \cdot 5^{x} + 25 - 4 \cdot 5^{x} = 5^{x + 1} - 4 \cdot 5^{x - 1} - 4 \cdot 5^{x}

Simplify

25 = 5^{x + 1} - 4 \cdot 5^{x - 1} - 4 \cdot 5^{x}

Factor

5^{x + 1} - 4 \cdot 5^{x - 1} - 4 \cdot 5^{x} : 5^{x - 1}

25 = 5^{x - 1}

Apply exponent rules

2 = x - 1

Solve

2 = x - 1 : x = 3

x = 3

Popular Examples

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91500 = 100000 - 272000 (\frac{1}{2})^{x}

-4.5e^{-0.3x}+9e^{-0.6x}=0

- 4.5 e^{- 0.3 x} + 9 e^{- 0.6 x} = 0

5e^{-3x}-4=6

5 e^{- 3 x} - 4 = 6

Frequently Asked Questions (FAQ)

What is the answer to 4*5^x+25=5^{x+1}-4*5^{x-1} ?
The answer to 4*5^x+25=5^{x+1}-4*5^{x-1} is x=3
Solve for x: 4*5^x+25=5^{x+1}-4*5^{x-1}
The solution is x=3

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to 45^x+25=5^{x+1}-45^{x-1} ?

Solve for x: 45^x+25=5^{x+1}-45^{x-1}

4*5^x+25=5^{x+1}-4*5^{x-1}

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to 4*5^x+25=5^{x+1}-4*5^{x-1} ?

Solve for x: 4*5^x+25=5^{x+1}-4*5^{x-1}

45^x+25=5^{x+1}-45^{x-1}

What is the answer to 45^x+25=5^{x+1}-45^{x-1} ?

Solve for x: 45^x+25=5^{x+1}-45^{x-1}