\(5.3^x=7.5^5-2.3^x\)
Những câu hỏi liên quan
2Tìm X:
a.(19x+2.5^2):14=(13-8)^2-4^2
b.2.3^x=10.3^12+8.27^4
c.{x^2-[6^2-(8^2-9.7)^3-7.5]^3-5.3}^3=1
d.60-3(x-2)=51
e.4x-20=2^5:2^2
{ x2 - [ 62 - ( 82 - 9.7)3 - 7.5]3 - 5.3 }3 = 1
{ x2 + [ 36 - (64 - 63)3 - 35]3 - 15}3 = 1
[ x2 - ( 36 - 13 - 35 ) - 15 ]3 = 1
[ x2 - ( 36 - 1 - 35 ) - 15]3 = 1
[ x2 - ( 35 - 35 ) - 15]3 = 1
[ x2 - 0 - 15]3 = 1
( x2 - 15 )3 = 1
<=> ( x2 - 15)3 = 13
=> x2 - 15 = 1
<=> x2 = 16
=> x = 4
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a 5.3^2023=50.3^2023-5.9^x
b, 2.3^x+5.3^x+1=153
a) 5.3²⁰²³ = 50.3²⁰²³ - 5.9ˣ
5.9ˣ = 50.3²⁰²³ - 5.3²⁰²³
5.(3²)ˣ = 5.3²⁰²³.(10 - 1)
5.(3²)ˣ = 5.3²⁰²³.9
3²ˣ = 3²⁰²³.3²
3²ˣ = 3²⁰²⁵
2x = 2025
x = 2025/2
b) 2.3ˣ + 5.3ˣ⁺¹ = 153
3ˣ.(2 + 5.3) = 153
3ˣ.17 = 153
3ˣ = 153/17
3ˣ = 9
3ˣ = 3²
x = 2
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Tìm số nguyên x , nếu biết
1. 7.4^x=7.4^3
2.3/2.5^x =3/2.5^12
3 . 2^x=2.2^8
4. 5.3^x=7.3^5-2.3^5
1) \(7.4^x=7.4^3\Leftrightarrow4^x=4^3;x=3\)
2) \(\frac{3}{2.5^x}=\frac{3}{2.5^{12}}\Leftrightarrow5^x=5^{12};x=12\)
\(2^x=2.2^8=2^9;x=9\)
4) \(5.3^x=7.3^5-2.3^5\Leftrightarrow5.3^x=3^5.\left(7-2\right)\)
\(\Leftrightarrow3^5.x=3^5.5;x=5\)
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1. tìm x
a) ( 3 x X - 7.5 ) + 2.3 = 5.6
b) 5 x X - 3 x X + 69 = 285
a) (3 x X - 7.5) + 2.3 = 5.6
3 x X - 7.5 = 5.6 - 2.3
3 x X - 7.5 = 3.3
3 x X = 3.3 + 7.5
3 x X = 10.8
X = 10.8 : 3
X = 3.6
b) 5 x X - 3 x X + 69 = 285
(5 - 3) x X = 285 - 69
2 x X = 216
X = 216 : 2
X = 108
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a) ( 3 x X - 7.5 ) + 2.3 = 5.6
3 x X - 7.5 = 5.6 - 2.3
3 x X - 7.5 = 3.3
3 x X = 3.3 + 7.5
3 x X = 10.8
X = 10.8 : 3
X = 3.6
b) 5 x X - 3 x X + 69 = 285
(5 - 3) x X + 69 = 285
2 x X = 285 - 69
2 x X = 216
X = 216 : 2
X = 108
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{x^2-[6^2-(8^2-9.7)^3-7.5]-5.3}^3=1
{ x2 - [ 62 - ( 82 -9.7 )3 -7.5 ]3 -5.3 }3 =1 ... {x2 - [62 - 13 -7.5]3 - 5.3}3=1. {x2 - [36 - 1 -7.5]3 - 5.3}3=1. {x2 - [36 - 1 - 35]3 - 5.3}3=1. {x2 - [35 - 35]3 -5.3}3=1. {x2 - 03 - 5.3}3=1. {x2 - 0 -5.3}3=1. {x2 - 0 - 15}3=1. {x.x - 0 - 15}3=1. {x.x + 0+15}3=1. {x.x +15}3=1.
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{x^2 -[6^2 -( 8^2- 9.7 ) ^3 -7.5 ]^3-5.3}?^3=1
{ x 2 - [ 6 2 - ( 8 2 - 9.7 ) 3 -7.5 ] 3 - 5.3 }3 =5
{x mũ 2 - [6 mũ 2 - (8 mũ 2 - 9.7) mũ 3 - 7.5] mũ 3 - 5.3} mũ 3 = 1
{x^2−[6^2−(8^2−9⋅7)^3−7⋅5]^3−5⋅3}^3=1
⇒x^2−[36−(64−63)^3−35]^3−15=1
⇒x^2−[36−35−1^3]^3=16
⇒x^2−0^3=16
⇒x^2=16
⇒x=±4
Hok tốt
2.3x+1+5.3x+2=1377
\(6^x+6+15^x+15^2=\)1377
\(6^x+15^x=1116\)
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