What is the answer to 3.6=(1.025)^n ?

The answer to 3.6=(1.025)^n is n=(ln(3.6))/(ln(1.025))

Solve for n: 3.6=(1.025)^n

The solution is n=(ln(3.6))/(ln(1.025))

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3.6 = (1.025)^{n}

n = \frac{ln ( 3.6 )}{ln ( 1.025 )}

Decimal Notation

n = 51.87518 \dots

Solution steps

3.6 = (1.025)^{n}

Apply exponent rules

ln (3.6) = n ln (1.025)

Solve

ln (3.6) = n ln (1.025) : n = \frac{ln ( 3.6 )}{ln ( 1.025 )}

n = \frac{ln ( 3.6 )}{ln ( 1.025 )}

6 e^{3 x} - 18 e^{- 2 x} = 0

2^{x} = 10

2^{x} = 12

e^{x + 3} = 2^{x - 1}

1 1^{x - 4} = 8^{- 4 x}

What is the answer to 3.6=(1.025)^n ?
The answer to 3.6=(1.025)^n is n=(ln(3.6))/(ln(1.025))
Solve for n: 3.6=(1.025)^n
The solution is n=(ln(3.6))/(ln(1.025))