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受欢迎的代数 >

log_{9}(3^{x+1})=x^2

解答

lo g_{9} (3^{x + 1}) = x^{2}

解答

x = 1, x = - \frac{1}{2}

+1

十进制

x = 1, x = - 0.5

求解步骤

lo g_{9} (3^{x + 1}) = x^{2}

若

f (x) = g (x)

，则

a^{f (x)} = a^{g (x)}

9^{l o g_{9} (3^{x + 1})} = 9^{x^{2}}

化简

9^{l o g_{9} (3^{x + 1})} : 3^{x + 1}

3^{x + 1} = 9^{x^{2}}

解

3^{x + 1} = 9^{x^{2}} : x = 1, x = - \frac{1}{2}

x = 1, x = - \frac{1}{2}

验证解:

x = 1

真

, x = - \frac{1}{2}

真

解为

x = 1, x = - \frac{1}{2}

作图

流行的例子

2 x = e^{2} ln (x)

log_{10}(x)=7.6348

lo g_{10} (x) = 7.6348

lo g_{7} (x) = 21

0.9 = ln (y)

log_{2}(x+5)-log_{2}(6)=3

lo g_{2} (x + 5) - lo g_{2} (6) = 3