What is the answer to 5000=1000(1.07)^n ?

The answer to 5000=1000(1.07)^n is n=(ln(5))/(ln(1.07))

Solve for n: 5000=1000(1.07)^n

The solution is n=(ln(5))/(ln(1.07))

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5000 = 1000 (1.07)^{n}

n = \frac{ln ( 5 )}{ln ( 1.07 )}

Decimal Notation

n = 23.78761 \dots

Solution steps

5000 = 1000 (1.07)^{n}

Switch sides

1000 \cdot 1.0 7^{n} = 5000

Divide both sides by

1000

1.0 7^{n} = 5

Apply exponent rules

n ln (1.07) = ln (5)

Solve

n ln (1.07) = ln (5) : n = \frac{ln ( 5 )}{ln ( 1.07 )}

n = \frac{ln ( 5 )}{ln ( 1.07 )}

16 = 2^{t}

3^{a} = 81

2 7^{- 3 x + 2} = 81

e^{(x)} - 5 e^{(- x)} + 4 e^{(- 3 x)} = 0

e^{2 x - 2} - 32 = 4 e^{x - 1}

What is the answer to 5000=1000(1.07)^n ?
The answer to 5000=1000(1.07)^n is n=(ln(5))/(ln(1.07))
Solve for n: 5000=1000(1.07)^n
The solution is n=(ln(5))/(ln(1.07))