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人気のある代数 >

x=log_{10}(3(5^x))

解

x = lo g_{10} (3 (5^{x}))

解

x = \frac{ln ( 3 )}{ln ( 2 )}

+1

十進法表記

x = 1.58496 \dots

解答ステップ

x = lo g_{10} (3 (5^{x}))

f (x) = g (x)

ならば,

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

1 0^{x} = 1 0^{l o g_{10} (3 \cdot 5^{x})}

簡素化

1 0^{l o g_{10} (3 \cdot 5^{x})} : 3 \cdot 5^{x}

1 0^{x} = 3 \cdot 5^{x}

解く

1 0^{x} = 3 \cdot 5^{x} : x = \frac{ln ( 3 )}{ln ( 2 )}

x = \frac{ln ( 3 )}{ln ( 2 )}

解を検算する:

x = \frac{ln ( 3 )}{ln ( 2 )}

真

解は

x = \frac{ln ( 3 )}{ln ( 2 )}

グラフ

人気の例

log_{3}(x+3)-log_{3}(3-x)=3

lo g_{3} (x + 3) - lo g_{3} (3 - x) = 3

solvefor x=ln(19t),t

so l v e f or x = ln (19 t), t

ln (x) = \frac{1}{5}

log_{2}(x^3)=log_{2}(x)

lo g_{2} (x^{3}) = lo g_{2} (x)

6 + 2 ln (x) = 5