What is the answer to 1.08^n=2 ?

The answer to 1.08^n=2 is n=(ln(2))/(ln(1.08))

Solve for n: 1.08^n=2

The solution is n=(ln(2))/(ln(1.08))

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1.0 8^{n} = 2

n = \frac{ln ( 2 )}{ln ( 1.08 )}

Decimal Notation

n = 9.00646 \dots

Solution steps

1.0 8^{n} = 2

Apply exponent rules

n ln (1.08) = ln (2)

Solve

n ln (1.08) = ln (2) : n = \frac{ln ( 2 )}{ln ( 1.08 )}

n = \frac{ln ( 2 )}{ln ( 1.08 )}

6 e^{6 x} = 216

2^{2 x - 3} = 32

65.33 = 16 + 5 4^{- k (5)}

2^{2 x - 3} = 16

e^{x + 1} = 2^{x + 2}