What is the answer to 10000=30000(1+0.08)^n ?

The answer to 10000=30000(1+0.08)^n is n=-(ln(3))/(ln(1.08))

Solve for n: 10000=30000(1+0.08)^n

The solution is n=-(ln(3))/(ln(1.08))

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10000 = 30000 (1 + 0.08)^{n}

n = - \frac{ln ( 3 )}{ln ( 1.08 )}

Decimal Notation

n = - 14.27491 \dots

Solution steps

10000 = 30000 (1 + 0.08)^{n}

Switch sides

30000 (1 + 0.08)^{n} = 10000

Divide both sides by

30000

(1 + 0.08)^{n} = \frac{1}{3}

Apply exponent rules

n ln (1 + 0.08) = ln (\frac{1}{3})

Solve

n ln (1 + 0.08) = ln (\frac{1}{3}) : n = - \frac{ln ( 3 )}{ln ( 1.08 )}

n = - \frac{ln ( 3 )}{ln ( 1.08 )}

1^{x} + 6^{x} + 8^{x} = 9^{x}

2^{x} + 4^{x} = 8^{x}

(\frac{1}{3})^{3 - 2 x} = 243

y, x (x + 2) (x + 8) = 3^{y}

3^{x} + 3^{- x} = 12

What is the answer to 10000=30000(1+0.08)^n ?
The answer to 10000=30000(1+0.08)^n is n=-(ln(3))/(ln(1.08))
Solve for n: 10000=30000(1+0.08)^n
The solution is n=-(ln(3))/(ln(1.08))