Math, asked by Anonymous, 1 year ago

solve this guys plzzzz​

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Answered by Anonymous
99

\large\pink{\underline{\underline{\mathfrak{\green{\sf{SOLUTION}}}}}}

\large{\frak{\underline{\:Given}}}

\mapsto\sf{\:\log_{a}{a}^{x^2-5x+8}\:=\:2}.....(1)

\large{\frak{\underline{\:Find}}}

\mapsto\sf{\:Value\:of\:x}

\large\pink{\underline{\underline{\mathfrak{\green{\sf{EXPLANATION}}}}}}

By equ. (1)

\mapsto\sf{\:\log_{a}{a}^{x^2-5x+8}\:=\:2}

\:\:\:\:\star\red{\sf{\:(\log_{a}{m}^{n}\:=\:n\log_{a}{m})}}

\mapsto\sf{\:(x^2-5x+8)\times\log_{a}{a}\:=\:2}

\:\:\:\:\star\red{\sf{\:(\log_{a}{a}\:=\:1)}}

\mapsto\sf{\:(x^2-5x+8)\:=\:2}

\mapsto\sf{\:(x^2-5x+8-2)\:=\:0}

\mapsto\sf{\:(x^2-5x+6)\:=\:0}

\:\:\:\:\star\red{\sf{\:(Factories\:this)}}

\mapsto\sf{\:(x^2-3x-2x+6)\:=\:0}

\mapsto\sf{\:x(x-3)-2(x-3)\:=\:0}

\mapsto\sf{\:(x-2)(x-3)\:=\:0}

\mapsto\sf{\:(x-2)\:=\:0\:\:\:or\:\:\:(x-3)\:=0}

\mapsto\sf{\:(x)\:=\:2\:\:\:or\:\:\:(x)\:=\:3}

\pink{\underbrace{ANSWER}}

\mapsto\green{\sf{\:Value\:of\:x\:=\:2}}

Or,

\mapsto\green{\sf{\:Value\:of\:x\:=\:3}}

_________________

Answered by archer54
1

Answer:

I'm sorry and btw hope this is helpful

Step-by-step explanation:

FYI my handwriting sucks

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