What is the answer to 1.04^n=1.28858 ?

The answer to 1.04^n=1.28858 is n=(ln(1.28858))/(ln(1.04))

Solve for n: 1.04^n=1.28858

The solution is n=(ln(1.28858))/(ln(1.04))

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1.0 4^{n} = 1.28858

n = \frac{ln ( 1.28858 )}{ln ( 1.04 )}

Decimal Notation

n = 6.46446 \dots

Solution steps

1.0 4^{n} = 1.28858

Apply exponent rules

n ln (1.04) = ln (1.28858)

Solve

n ln (1.04) = ln (1.28858) : n = \frac{ln ( 1.28858 )}{ln ( 1.04 )}

n = \frac{ln ( 1.28858 )}{ln ( 1.04 )}

3 6^{2 x + 5} = 6^{3 x + 1}

4^{2 x} = 70

x, e^{x y} - y^{2} = e - 4

10 e^{\frac{x}{2}} = 1

3^{2 x - 6} = 81

What is the answer to 1.04^n=1.28858 ?
The answer to 1.04^n=1.28858 is n=(ln(1.28858))/(ln(1.04))
Solve for n: 1.04^n=1.28858
The solution is n=(ln(1.28858))/(ln(1.04))