What is the answer to 20000=10000(1+0.025)^{12n} ?

The answer to 20000=10000(1+0.025)^{12n} is n=(ln(2))/(12ln(1.025))

Solve for n: 20000=10000(1+0.025)^{12n}

The solution is n=(ln(2))/(12ln(1.025))

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20000 = 10000 (1 + 0.025)^{12 n}

n = \frac{ln ( 2 )}{12 ln ( 1.025 )}

Decimal Notation

n = 2.33925 \dots

Solution steps

20000 = 10000 (1 + 0.025)^{12 n}

Switch sides

10000 (1 + 0.025)^{12 n} = 20000

Divide both sides by

10000

(1 + 0.025)^{12 n} = 2

Apply exponent rules

12 n ln (1 + 0.025) = ln (2)

Solve

12 n ln (1 + 0.025) = ln (2) : n = \frac{ln ( 2 )}{12 ln ( 1.025 )}

n = \frac{ln ( 2 )}{12 ln ( 1.025 )}

e^{5 x - 2} = 6

5 \cdot 5^{3 x} = 5^{- 2 x}

5^{2 x + 1} - 26 (5^{x}) + 5 = 0

4^{(3 x - 5)} = 256

t, A = A_{0} e^{k t}

What is the answer to 20000=10000(1+0.025)^{12n} ?
The answer to 20000=10000(1+0.025)^{12n} is n=(ln(2))/(12ln(1.025))
Solve for n: 20000=10000(1+0.025)^{12n}
The solution is n=(ln(2))/(12ln(1.025))