solvefor t,5^t=7

解答

求解

t, 5^{t} = 7

t = \frac{ln ( 7 )}{ln ( 5 )}

十进制

t = 1.20906 \dots

求解步骤

5^{t} = 7

使用指数运算法则

t ln (5) = ln (7)

解

t ln (5) = ln (7) : t = \frac{ln ( 7 )}{ln ( 5 )}

t = \frac{ln ( 7 )}{ln ( 5 )}

12 5^{3 x - 4} = 2 5^{4 x + 2}

5 \cdot 2^{4 x} = 15

2^{x + 1} = \frac{100}{0.125}

120 = \frac{3000}{1 + 59 e ^{- b (5)}}

e^{x + 4} = 6