What is the answer to 10000=5000(1+7.5)^n ?

The answer to 10000=5000(1+7.5)^n is n=(ln(2))/(ln(8.5))

Solve for n: 10000=5000(1+7.5)^n

The solution is n=(ln(2))/(ln(8.5))

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10000 = 5000 (1 + 7.5)^{n}

n = \frac{ln ( 2 )}{ln ( 8.5 )}

Decimal Notation

n = 0.32389 \dots

Solution steps

10000 = 5000 (1 + 7.5)^{n}

Switch sides

5000 (1 + 7.5)^{n} = 10000

Divide both sides by

5000

(1 + 7.5)^{n} = 2

Apply exponent rules

n ln (1 + 7.5) = ln (2)

Solve

n ln (1 + 7.5) = ln (2) : n = \frac{ln ( 2 )}{ln ( 8.5 )}

n = \frac{ln ( 2 )}{ln ( 8.5 )}

5^{x - 1} = 5^{7 - 3 x}

2^{x} = 200

1 0^{3 x + 7} + 8 = 37

5^{(- x)} + 7 = 2 x + 4

8^{- 5 a} - 5 = 53

What is the answer to 10000=5000(1+7.5)^n ?
The answer to 10000=5000(1+7.5)^n is n=(ln(2))/(ln(8.5))
Solve for n: 10000=5000(1+7.5)^n
The solution is n=(ln(2))/(ln(8.5))