Tìm x, biết:
a) \(3^{x+1}=81\) b) \(3^x+3^{x+1}=324\)
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a) \(\Rightarrow x=2021-2006=15\)
b) \(\Rightarrow2x-2016=64\Rightarrow2x=2016+64=2080\Rightarrow x=1040\)
c) \(\Rightarrow\left(2x+1\right)^3=81:3=27\Rightarrow2x+1=3\)
\(\Rightarrow2x=3-1=2\Rightarrow x=1\)
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a: 3x=81
nên x=27
b: \(5\cdot4^x=80\)
\(\Leftrightarrow4^x=16\)
hay x=2
c: \(2^x=4^5:4^3\)
\(\Leftrightarrow2^x=2^4\)
hay x=4
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a) \(x+1^3=2^5-\left(-1^3\right)\)
\(\Rightarrow x+1=33\)
=> x = 32
b) \(3^7-x=1^4-\left(-3^5\right)\)
\(\Rightarrow2187-x=1+243=244\)
=> x = 1943
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a: ĐKXĐ: x<>-1/2
\(\dfrac{x-1}{2x+1}=\dfrac{2}{3}\)
=>\(2\left(2x+1\right)=3\left(x-1\right)\)
=>\(4x+2=3x-3\)
=>\(4x-3x=-3-2\)
=>x=-5(nhận)
b: ĐKXĐ: x<>1/2
\(\dfrac{x-2}{2x-1}=\dfrac{-1}{3}\)
=>\(3\left(x-2\right)=-1\left(2x-1\right)\)
=>\(3x-6=-2x+1\)
=>\(3x+2x=1+6\)
=>5x=7
=>x=7/5(nhận)
a) \(3^{x+1}=81\)
\(\Rightarrow3^{x+1}=3^4\)
\(\Rightarrow x+1=4\)
\(\Rightarrow x=3\)
Vậy \(x=3\)
b) \(3^x+2^{x+1}=324\)
\(\Rightarrow3^x+3^x.3=324\)
\(\Rightarrow3^x.\left(1+3\right)=324\)
\(\Rightarrow3^x.4=324\)
\(\Rightarrow3^x=81\)
\(\Rightarrow3^x=3^4\)
\(\Rightarrow x=4\)
Vậy \(x=4\)
a, Ta có \(3^{x+1}=81\Rightarrow3^{x+1}=3^4\)
\(\Rightarrow x+1=4\Rightarrow x=3\)
Vậy x= 3
b, Ta có \(3^x+3^{x+1}=324\Rightarrow3^x+3^x.3=324\)
\(\Rightarrow3^x.\left(1+3\right)=324\Rightarrow3^x.4=324\)
\(\Rightarrow3^x=81\Rightarrow3^x=3^4\Rightarrow x=4\)
Vậy x=4