What is the answer to 3000(1+0.2)^n=10000 ?

The answer to 3000(1+0.2)^n=10000 is n=(ln(10/3))/(ln(1.2))

Solve for n: 3000(1+0.2)^n=10000

The solution is n=(ln(10/3))/(ln(1.2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3000 (1 + 0.2)^{n} = 10000

n = \frac{ln ( \frac{10}{3} )}{ln ( 1.2 )}

Decimal Notation

n = 6.60356 \dots

Solution steps

3000 (1 + 0.2)^{n} = 10000

Divide both sides by

3000

(1 + 0.2)^{n} = \frac{10}{3}

Apply exponent rules

n ln (1 + 0.2) = ln (\frac{10}{3})

Solve

n ln (1 + 0.2) = ln (\frac{10}{3}) : n = \frac{ln ( \frac{10}{3} )}{ln ( 1.2 )}

n = \frac{ln ( \frac{10}{3} )}{ln ( 1.2 )}

3^{3 + x} = 7

- 2 = \frac{2 π}{( e ^{- c} + 1 )}

8 1^{x} = 63

4^{- 2 x - 1} = 16

3^{(- x + 1)} = \frac{1}{81}

What is the answer to 3000(1+0.2)^n=10000 ?
The answer to 3000(1+0.2)^n=10000 is n=(ln(10/3))/(ln(1.2))
Solve for n: 3000(1+0.2)^n=10000
The solution is n=(ln(10/3))/(ln(1.2))