Nice Exponent Math Simplification. Find the value of X.

Nice Exponent Math Simplification. Find the value of X.
Nice Algebra Math Simplification.
Find the value of X.
A nice problem.
Problem math.
Nice square root math.
Nice Problem Math
Easy Algebra
Find x
How to solve
Square Root math
Nice square root math
Nice exponent math.
Olympiad Math

[@nasrullahhusnan2289]

(3^x)(5^x²)=15
Divide by 15=3×5:
[3^(x-1)][5^(x²-1)]=1
The two factors in LHS can''t be negative. Hence
3^(x-1)=1 and 5^(x²-1)=0
--> x-1=0 and x²-1=0
x=1 and x²=1 --> x=±1
Therefore x=1

[@BruceLee-io9by]

X^2log5+Xlog3-log15=0. Solve: X=1, X=-1,68.

[@PomeoBapHayBu4]

а теперь информация к размышлению:
1. b log a = log a^b
2. почему 2 корень не решен ?
x= -1 (log 15)
x=log 15 ^-1 =>
a^ -b = 1/ a^ b => х= log 1/15
????????

[@RyanLewis-Johnson-wq6xs]

3^x*5^x^2=15 x=1 x=-(Log[5,3]+1)=-Log[5,15] It’s in my head.

[@PomeoBapHayBu4]

а теперь информация к размышлению:
1. b log a = log a^b
2. почему 2 корень не решен ?
x= -1 (log 15)
x=log 15 ^-1 =>
a^ -b = 1/ a^ b => х= log 1/15
????????

[@anestismoutafidis4575]

3^1•5^1^2=15 [0

[@CharlesChen-el4ot]

Log2+(x-1)log3+
x ^2* log5=1
log5 *x^2 + log3 *x
+(log 2-log3-1)
log5* x^2+ log3*x -(1+log3-log2)
Log5 x^2 -log3 x - log 15=0

[@MathmentorX19]

Thanks for watching, are you teacher of maths?

[@okisofiyanhadi4396]

x=1; 3^1 x 5^1^2 => 3 x 5 = 15

[@susantobudianto9546]

3^x . 5^x = 15
3^x . 5^x = 3.5
3^x = 3¹. 5^x = 5¹
X = 1.

[@ЮрийИльин-ш9я]

х=1

[@trinhquochuy1]

Thế mà cũng đòi lên mạng. Sài bét nhè

[@lourdesgracia6767]

A simple vista X = 1

[@purushothamanmangalam7415]

X=1

[@prollysine]

5^k=3 , k=ln3/ln5 , 5^g=15 , g=ln15/ln5 , 5^(ln3/ln5)x * 5^(x^2)=5^(ln15/ln5) , --> , x^2+(ln3/ln5)x=ln15/ln5 ,
/ 5^(k*x)*5^(x^2)=5^g , k*x+x^2=g , x^2+k*x-g=0 , / , x^2 + (ln3/ln5)x - ln15/ln5 = 0 ,
x= 1 , -1.68261 , test , 3^1*5^(1^2)=3*5 , --> 15 , OK , 3^(-1.68261)*5^((-1.68261)^2)=15 , OK , solu , x= 1 , -1.68261 ,

[@nuhumaishanu6944]

Could been shorter method

[@АндрейАнцышкин]

😅х =1 моментально ❕

[@PomeoBapHayBu4]

а что по поводу 2го корня скажете?
а если подкинуть теперь информация к размышлению:
1. b log a = log a^b
2. почему 2 корень не решен ?
x= -1 (log 15)
x=log 15 ^-1 =>
a^ -b = 1/ a^ b => х= log 1/15
????????

[@KipIngram]

(3^x)*(5^(x^2)) = 15
ln(3^x) + ln(5^(x^2)) = ln(15)
x*ln(3) + x^2*ln(5) = ln(15)
ln(5)*x^2 + ln(3)*x - ln(15) = 0

[@PomeoBapHayBu4]

а теперь информация к размышлению:
1. b log a = log a^b
2. почему 2 корень не решен ?
x= -1 (log 15)
x=log 15 ^-1 =>
a^ -b = 1/ a^ b => х= log 1/15
????????

[@juergenrosner1756]

X = 1 oder?

[@dardoburgos3179]

X= 1.

[@ManojKumar-lv2rc]

Faltu me itna lamba sochne ki kya jarurat hai

[@sunhouse8616]

Every step is padded into 3. You exploit your audience, i suppose to earn revenue, but it is incredibly annoying.

[@Mentor28]

Increible que hayas tomado tiempo para escribir lo que todo mundo ya sabe 😂😂😂 si no te gusta y te hes molesto, simplemente no lo veas, pero comentar para criticar negativamente el trabajo de otros es ridículo.

[@sunhouse8616]

You're right, but if, as you say, everyone knows this, it might influence him to cut down on the padding. It seems a shame to package what could be quite interesting content so terribly.

[@Mentor28]

​@@sunhouse8616 😂😂😂 ridículo, tu crees que el autor del video no sabe que está poniendo relleno?? Obvio que si sabe, 😂 Crees que le ayudas a mejorar algo con tu comentario?? Jajaj El video ya tiene más de 25,000 vistas así tal y como es! Es decir, tiene gente que está conforme así como es, y hay gente como tú que puede no gustarle, el video es para gente que está dispuesta a ver, deja de hacer el ridículo. Busca un video que si te parezca interesante. Debes tener mucho tiempo libre 😂😂😂😂

[@FiruzaSharabitdinova-ph6xv]

Что за дурацкий решение 😮

[@lakshmikutty2255]

x=1