2=(1.2)^n

解答

2 = (1.2)^{n}

n = \frac{ln ( 2 )}{ln ( 1.2 )}

十进制

n = 3.80178 \dots

求解步骤

2 = (1.2)^{n}

使用指数运算法则

ln (2) = n ln (1.2)

解

ln (2) = n ln (1.2) : n = \frac{ln ( 2 )}{ln ( 1.2 )}

n = \frac{ln ( 2 )}{ln ( 1.2 )}

8^{k + 1} - 1 = (8^{k + 1} - 8) + (8 - 1)

4^{x} - 2^{x} = 56

2 x + 3^{x} = 13

(\frac{9}{7})^{3} \cdot (\frac{49}{81})^{2 x - 6} = (\frac{7}{9})^{9}

(\frac{x}{10}) - 20.89 \cdot e^{\frac{- x}{( 2478.82 )}} = 0