What is the answer to 1.05^n=2 ?

The answer to 1.05^n=2 is n=(ln(2))/(ln(1.05))

Solve for n: 1.05^n=2

The solution is n=(ln(2))/(ln(1.05))

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1.0 5^{n} = 2

n = \frac{ln ( 2 )}{ln ( 1.05 )}

Decimal Notation

n = 14.20669 \dots

Solution steps

1.0 5^{n} = 2

Apply exponent rules

n ln (1.05) = ln (2)

Solve

n ln (1.05) = ln (2) : n = \frac{ln ( 2 )}{ln ( 1.05 )}

n = \frac{ln ( 2 )}{ln ( 1.05 )}

8^{x} = 5^{2 x + 1}

x, e^{2 x} - 7 e^{x} + 12 = 0

y, x = e^{5 (y - 9)}

4 9^{x} + 1 = 2 (7^{x})

e^{4 x} = \frac{1}{16}