24+5*x=243:27+40
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a. =(54:5):(52.5)
=55:53
=52
b.= (34.33.32):(35.3)
=39:36
=33
d. = 8.125.8.25.8.5.25.2.5
= 23.53.23.52.23.5.52.2.5
=210.59
đúng nha
a; ( 625 : 5) : ( 125 . 5)
= ( 5^4 : 5) : ( 5^3 . 5)
= 5^3 : 5^4
= 1/5
b; (8 1 . 27 . 9 ) : ( 243 . 3)
= ( 3^4 . 3^3 . 3^2) : ( 3^4 . 3)
= 3^9 : 3^ 5
=3^4
c, 1000 x 200 x 40 x 25
= 1000 x ( 40x 250) x 200
= 1000 x 10000 x 200
= 2000000000
\(27^{45}=\left(3^3\right)^{45}=3^{135}\\ 243^{27}=\left(3^5\right)^{27}=3^{135}\)
Vậy \(27^{45}=243^{27}\)
a: =>(2x-1)^5=2^5
=>2x-1=2
=>2x=3
=>x=3/2
b: =>3^x=243*27=3^5*3^3=3^8
=>x=8
phần b nhé
(X+0,7)3=-27
(X+0,7)3=(-3)3
X+0,7=-3
X=3-0,7=2,3
Vậy...
a: =>4^x=640
=>\(x\in\varnothing\)
b: =>\(3^{-2x}\cdot3^{3x}=243\)
=>3^x=243
=>x=5
a/ \(27.3^x=243\)
\(\Leftrightarrow3^x=9\)
\(\Leftrightarrow3^x=3^2\)
\(\Leftrightarrow x=2\left(tm\right)\)
Vậy ...
b/ \(\left(x-5\right)^3=15\)
\(\Leftrightarrow\left(x-5\right)^3=\sqrt[3]{15}^3\)
\(\Leftrightarrow x-5=\sqrt[3]{15}\)
\(\Leftrightarrow x=\sqrt[3]{15}+5\)
\(\frac{\left(9^{11}.243^5\right)}{\left(81^5.3^{24}\right)}=\frac{9^{11}.\left(3^5\right)^5}{\left(9^2\right)^5.3^{24}}=\frac{9^{11}.3^{25}}{9^{10}.3^{24}}=9.3=27\)
\(\frac{9^3.2^{10}.27^5}{4^5.81^6}=\frac{\left(3^2\right)^3.2^{10}.\left(3^3\right)^5}{\left(2^2\right)^5.\left(3^4\right)^6}=\frac{3^6.2^{10}.3^{15}}{2^{10}.3^{24}}=\frac{3^{21}.2^{10}}{2^{10}.3^{24}}=\frac{1}{3^3}=\frac{1}{27}\)
24+5*x=9+40
24+5*x=49
5*x=49-24
5*x=25
x=25:5
x=5
\(24+5\cdot x=243:27+40\)
\(24+5\cdot x=9+40\)
\(24+5\cdot x=49\)
\(5\cdot x=49-24\)
\(5\cdot x=25\)
\(x=5\)