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=9x2^25-2^2x2^26/2^24x5^2-2^27x3
=9x2^25-2^28/2^24x5^2-2^27x3
=2^25x(9-2^3)/2^24x(5^2-2^3x3)
=2^25/2^24
=2^1=2
b)\(3.4^2-2.3=3.\left(4^2-3\right)\)
\(=3.13\)
\(=39\)
Học tốt nha!!!
\(4^{10}\times8^{15}\)
\(=\left(2^2\right)^{10}\times\left(2^3\right)^{15}\)
\(=2^{20}\times2^{45}\)
\(=2^{65}\)
\(4^{15}\times5^{30}\)
\(=\left(2^2\right)^{15}\times5^{30}\)
\(=2^{30}\times5^{30}\)
\(=\left(2\times5\right)^{30}\)
\(=10^{30}\)
\(27^{16}\div9^{10}\)
\(=\left(3^3\right)^{16}\div\left(3^2\right)^{10}\)
\(=3^{48}\div3^{20}\)
\(=3^{28}\)
\(5\cdot x+x=150:2+3\)
\(x\cdot\left(5+1\right)=75+3\)
\(x\cdot6=78\)
\(x=78:6\)
\(x=13\)
\(2^x:2^5=1\)
\(2^{x-5}=2^0\)
\(\Rightarrow x-5=0\)
\(x=5\)
\(5x+x=150:2+3\)
\(\Rightarrow\) \(6x=78\)
\(\Rightarrow\) \(x=13\)
\(2^x:2^5=1\)
\(\Rightarrow\) \(2^{x-5}=1\)
\(\Rightarrow\) \(x-5=1\)
\(\Rightarrow\) \(x=6\)
a) \(\left(2x+1\right)^3=27\)
\(\Leftrightarrow2x+1=3\)
\(\Leftrightarrow x=1\)
b) \(\left(2x-1\right)^3=125\)
\(\Leftrightarrow2x-1=5\)
\(\Leftrightarrow x=3\)
c) \(\left(x+1\right)^4=\left(2x\right)^4\)
\(\Leftrightarrow x+1=2x\)
\(\Leftrightarrow x=1\)
d) \(\left(2x-1\right)^5=x^5\)
\(\Leftrightarrow2x-1=x\)
\(\Leftrightarrow x=1\)
a. ( 2x + 1 )3 = 27
<=> ( 2x + 1 )3 = 33
<=> 2x + 1 = 3
<=> 2x = 2
<=> x = 1
b. ( 2x - 1 )3 = 125
<=> ( 2x - 1 )3 = 53
<=> 2x - 1 = 5
<=> 2x = 6
<=> x = 3
c. ( x + 1 )4 = 2x4
<=> x + 1 = 2x
<=> x = 1
d. ( 2x - 1 )5 = x5
<=> 2x - 1 = x
<=> x = 1
\(23+3x=5^6:5^3\) \(9^{x-1}=9\) \(x^4=16\) \(2^x:2^5=1\)
\(23+3x=5^2\) => x-1= 0 \(x^4=2^4\) \(2^x=1.2^5\)
\(23+3x=25\) x= 0+1 => x= 2 \(2^x=2^5\)
3x= 25-23 x= 1 => x= 5
3x= 2
x= \(\frac{2}{3}\)
27x-5=9x-5
27x=9x
=> x = 0
27x - 5 = 9x - 5
27x = 9x
=> x = 0