What is the answer to 9000.98*(1.04)^x=15280 ?

The answer to 9000.98*(1.04)^x=15280 is x=(ln(764000/450049))/(ln(1.04))

Solve for x: 9000.98*(1.04)^x=15280

The solution is x=(ln(764000/450049))/(ln(1.04))

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9000.98 \cdot (1.04)^{x} = 15280

x = \frac{ln ( \frac{764000}{450049} )}{ln ( 1.04 )}

Decimal Notation

x = 13.49315 \dots

Solution steps

9000.98 (1.04)^{x} = 15280

Multiply both sides by

100

900098 \cdot 1.0 4^{x} = 1528000

Divide both sides by

900098

1.0 4^{x} = \frac{764000}{450049}

Apply exponent rules

x ln (1.04) = ln (\frac{764000}{450049})

Solve

x ln (1.04) = ln (\frac{764000}{450049}) : x = \frac{ln ( \frac{764000}{450049} )}{ln ( 1.04 )}

x = \frac{ln ( \frac{764000}{450049} )}{ln ( 1.04 )}

36 = 18 \cdot 1 6^{0.0125 t}

3^{x + 1} - 2 (3^{x - 2}) = 5

2^{- x} = 128

3^{x} + 3^{x - 1} + 3^{x - 2} = 117

e^{c} = - 2

What is the answer to 9000.98*(1.04)^x=15280 ?
The answer to 9000.98*(1.04)^x=15280 is x=(ln(764000/450049))/(ln(1.04))
Solve for x: 9000.98*(1.04)^x=15280
The solution is x=(ln(764000/450049))/(ln(1.04))