What is the answer to 8200=6400*(1.054)^{4x} ?

The answer to 8200=6400*(1.054)^{4x} is x=(ln(41/32))/(4ln(1.054))

Solve for x: 8200=6400*(1.054)^{4x}

The solution is x=(ln(41/32))/(4ln(1.054))

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8200 = 6400 \cdot (1.054)^{4 x}

x = \frac{ln ( \frac{41}{32} )}{4 ln ( 1.054 )}

Decimal Notation

x = 1.17809 \dots

Solution steps

8200 = 6400 (1.054)^{4 x}

Switch sides

6400 \cdot 1.05 4^{4 x} = 8200

Divide both sides by

6400

1.05 4^{4 x} = \frac{41}{32}

Apply exponent rules

4 x ln (1.054) = ln (\frac{41}{32})

Solve

4 x ln (1.054) = ln (\frac{41}{32}) : x = \frac{ln ( \frac{41}{32} )}{4 ln ( 1.054 )}

x = \frac{ln ( \frac{41}{32} )}{4 ln ( 1.054 )}

e^{4 x} - 7 e^{2 x} + 12 = 0

2^{- 3 d + 1} = 2^{- 2 d}

8^{4 x + 1} = 4^{3 x + 5}

5^{2 x + 5} = \frac{1}{5 ^{3 - x}}

- 14 (1 - 2^{x}) = 117638

What is the answer to 8200=6400*(1.054)^{4x} ?
The answer to 8200=6400*(1.054)^{4x} is x=(ln(41/32))/(4ln(1.054))
Solve for x: 8200=6400*(1.054)^{4x}
The solution is x=(ln(41/32))/(4ln(1.054))