What is the answer to 0.4=(1/(1.06))^n ?

The answer to 0.4=(1/(1.06))^n is n=-(ln(0.4))/(ln(1.06))

Solve for n: 0.4=(1/(1.06))^n

The solution is n=-(ln(0.4))/(ln(1.06))

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0.4 = (\frac{1}{1.06})^{n}

n = - \frac{ln ( 0.4 )}{ln ( 1.06 )}

Decimal

n = 15.72520 \dots

Solution steps

0.4 = (\frac{1}{1.06})^{n}

Apply exponent rules

ln (0.4) = n ln (\frac{1}{1.06})

Solve

ln (0.4) = n ln (\frac{1}{1.06}) : n = - \frac{ln ( 0.4 )}{ln ( 1.06 )}

n = - \frac{ln ( 0.4 )}{ln ( 1.06 )}

6^{x} = 3

e^{x - 3} = 3

2 \cdot 3^{x} = 10

3^{2 x} = 15

2 e^{x} = 10

What is the answer to 0.4=(1/(1.06))^n ?
The answer to 0.4=(1/(1.06))^n is n=-(ln(0.4))/(ln(1.06))
Solve for n: 0.4=(1/(1.06))^n
The solution is n=-(ln(0.4))/(ln(1.06))