What is the answer to 15000=10000*(1.1)^x ?

The answer to 15000=10000*(1.1)^x is x=(ln(3/2))/(ln(1.1))

Solve for x: 15000=10000*(1.1)^x

The solution is x=(ln(3/2))/(ln(1.1))

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15000 = 10000 \cdot (1.1)^{x}

x = \frac{ln ( \frac{3}{2} )}{ln ( 1.1 )}

Decimal Notation

x = 4.25416 \dots

Solution steps

15000 = 10000 (1.1)^{x}

Switch sides

10000 \cdot 1. 1^{x} = 15000

Divide both sides by

10000

1. 1^{x} = \frac{3}{2}

Apply exponent rules

x ln (1.1) = ln (\frac{3}{2})

Solve

x ln (1.1) = ln (\frac{3}{2}) : x = \frac{ln ( \frac{3}{2} )}{ln ( 1.1 )}

x = \frac{ln ( \frac{3}{2} )}{ln ( 1.1 )}

1 7^{3 x} = 3.1

25 6^{x - 2} = 2^{x^{2}}

2^{x} = 10000

0.72 = e^{0.000126 x}

7^{x + 3} \cdot 49 = 7

What is the answer to 15000=10000*(1.1)^x ?
The answer to 15000=10000*(1.1)^x is x=(ln(3/2))/(ln(1.1))
Solve for x: 15000=10000*(1.1)^x
The solution is x=(ln(3/2))/(ln(1.1))