What is the answer to 110624.8=55000*(1.15)^x ?

The answer to 110624.8=55000*(1.15)^x is x=(ln(2.01136))/(ln(1.15))

Solve for x: 110624.8=55000*(1.15)^x

The solution is x=(ln(2.01136))/(ln(1.15))

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110624.8 = 55000 \cdot (1.15)^{x}

x = \frac{ln ( 2.01136 )}{ln ( 1.15 )}

Decimal Notation

x = 5.00001 \dots

Solution steps

110624.8 = 55000 (1.15)^{x}

Switch sides

55000 \cdot 1.1 5^{x} = 110624.8

Divide both sides by

55000

1.1 5^{x} = 2.01136

Apply exponent rules

x ln (1.15) = ln (2.01136)

Solve

x ln (1.15) = ln (2.01136) : x = \frac{ln ( 2.01136 )}{ln ( 1.15 )}

x = \frac{ln ( 2.01136 )}{ln ( 1.15 )}

3^{x - x^{2}} = \frac{1}{9 ^{x}}

7^{x} = 4 9^{2}

e^{x} = - \frac{1}{2}

4 9^{3 x} = 34 3^{2 x + 1}

\frac{e ^{x} + 1}{2} = 7

What is the answer to 110624.8=55000*(1.15)^x ?
The answer to 110624.8=55000*(1.15)^x is x=(ln(2.01136))/(ln(1.15))
Solve for x: 110624.8=55000*(1.15)^x
The solution is x=(ln(2.01136))/(ln(1.15))