What is the answer to 1.01^n=2 ?

The answer to 1.01^n=2 is n=(ln(2))/(ln(1.01))

Solve for n: 1.01^n=2

The solution is n=(ln(2))/(ln(1.01))

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1.0 1^{n} = 2

n = \frac{ln ( 2 )}{ln ( 1.01 )}

Decimal Notation

n = 69.66071 \dots

Solution steps

1.0 1^{n} = 2

Apply exponent rules

n ln (1.01) = ln (2)

Solve

n ln (1.01) = ln (2) : n = \frac{ln ( 2 )}{ln ( 1.01 )}

n = \frac{ln ( 2 )}{ln ( 1.01 )}

ln (2^{3 x + 1}) = 5

e = 1 0^{x}

3^{x - 1} = 134

6 4^{x} - 8 = 0

3^{4 x + 1} = 9^{3 x - 5}