What is the answer to 20000=10000(1+0.15)^t ?

The answer to 20000=10000(1+0.15)^t is t=(ln(2))/(ln(1.15))

Solve for t: 20000=10000(1+0.15)^t

The solution is t=(ln(2))/(ln(1.15))

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20000 = 10000 (1 + 0.15)^{t}

t = \frac{ln ( 2 )}{ln ( 1.15 )}

Decimal Notation

t = 4.95948 \dots

Solution steps

20000 = 10000 (1 + 0.15)^{t}

Switch sides

10000 (1 + 0.15)^{t} = 20000

Divide both sides by

10000

(1 + 0.15)^{t} = 2

Apply exponent rules

t ln (1 + 0.15) = ln (2)

Solve

t ln (1 + 0.15) = ln (2) : t = \frac{ln ( 2 )}{ln ( 1.15 )}

t = \frac{ln ( 2 )}{ln ( 1.15 )}

5 \cdot e^{- 7 x} = 12

e^{5 x} = 3

6^{x^{2} - 2 x - 24} = 1

3^{x} - 3^{2 - x} = 8

m^{2} e^{m x} - 5 m e^{m x} + 6 e^{m x} = 0

What is the answer to 20000=10000(1+0.15)^t ?
The answer to 20000=10000(1+0.15)^t is t=(ln(2))/(ln(1.15))
Solve for t: 20000=10000(1+0.15)^t
The solution is t=(ln(2))/(ln(1.15))