Question

solve this guys plzzzz​

Answer 1

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

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

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

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

_________________

Answer 2

Answer:

I'm sorry and btw hope this is helpful

Step-by-step explanation:

FYI my handwriting sucks