What is the answer to 20=50(1.04)^x ?

The answer to 20=50(1.04)^x is x=(ln(2/5))/(ln(1.04))

Solve for x: 20=50(1.04)^x

The solution is x=(ln(2/5))/(ln(1.04))

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20 = 50 (1.04)^{x}

x = \frac{ln ( \frac{2}{5} )}{ln ( 1.04 )}

Solution steps

20 = 50 (1.04)^{x}

Switch sides

50 \cdot 1.0 4^{x} = 20

Divide both sides by

50

1.0 4^{x} = \frac{2}{5}

Apply exponent rules

x ln (1.04) = ln (\frac{2}{5})

Solve

x ln (1.04) = ln (\frac{2}{5}) : x = \frac{ln ( \frac{2}{5} )}{ln ( 1.04 )}

x = \frac{ln ( \frac{2}{5} )}{ln ( 1.04 )}

1 1^{- 8 x} = 1 8^{- x + 5}

k, n = 7^{k}

x, 1 0^{x + 2 y} = 5

e^{x} = e^{- x} + 2

9^{x} = 2 7^{(x + 6)}

What is the answer to 20=50(1.04)^x ?
The answer to 20=50(1.04)^x is x=(ln(2/5))/(ln(1.04))
Solve for x: 20=50(1.04)^x
The solution is x=(ln(2/5))/(ln(1.04))