What is the answer to 2=1.06^n ?

The answer to 2=1.06^n is n=(ln(2))/(ln(1.06))

Solve for n: 2=1.06^n

The solution is n=(ln(2))/(ln(1.06))

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2 = 1.0 6^{n}

n = \frac{ln ( 2 )}{ln ( 1.06 )}

Decimal Notation

n = 11.89566 \dots

Solution steps

2 = 1.0 6^{n}

Apply exponent rules

ln (2) = n ln (1.06)

Solve

ln (2) = n ln (1.06) : n = \frac{ln ( 2 )}{ln ( 1.06 )}

n = \frac{ln ( 2 )}{ln ( 1.06 )}

5 e^{x} + 48 e^{- x} = 46

t, 45 x 1.07 1^{t} = 122

1 6^{x - 3} = 2^{x - 6}

n = 1. 2^{n}

2^{x} = 3.6 \cdot 1 0^{13}