You say equals to which sounds like equals two. Most people, in my experience say "equals" - like x squared plus 2x plus 1 equals zero. Saying "equals to" confuses your listeners.
yes you are confusing two expressions you can say x equals y here “equals” is a verb like “moves” with “y” as the object. or you can say “x is equal to y”, here “is” is the verb “equal to y” is adjectival just like “greater than y”
Way too lengthy for the headline standard. x=0 by inspection. Followed by (3^3x)^3 etc giving x=1/81 Hardly a difficult problem, just using basic rules of indices. Able 14 yr olds can all solve this.
Trying it for myself I nearly got it. Thank you for the explanation.
Glad I could help!😎💕
You say equals to which sounds like equals two. Most people, in my experience say "equals" - like x squared plus 2x plus 1 equals zero. Saying "equals to" confuses your listeners.
yes you are confusing two expressions
you can say x equals y here “equals” is a verb like “moves” with “y” as the object.
or you can say “x is equal to y”, here “is” is the verb “equal to y” is adjectival just like “greater than y”
@davidseed2939 I'm not confusing anything, I'm saying that usage of "equals to" makes the videos harder to follow.
27^x=(3^3)^x=3^{3x}; [27^x]^3=[3^{3x}]^3=3^{9x}
[∛(3^√x)]^3=3^√x
3^{9x}=3^√x implies 9x=√x, so √x=1/9 and x=1/81.
Log3² 1.99 log61a 6³ 1a law log6a
3^3x=3^sqrt x/3
3x=sqrt x/3
sqrt x=9x
1=9 sqrt x
sqrt x=1/9
x(1)=1/81
x(2)=0
Too many steps,i don't expect students in these schools to go that long way
Way too lengthy for the headline standard.
x=0 by inspection.
Followed by (3^3x)^3 etc giving x=1/81
Hardly a difficult problem, just using basic rules of indices. Able 14 yr olds can all solve this.
Let n=√x, n²=x
Domain: x≥0
27^(n²)=³√(3ⁿ)
3^(3n²)=3^(⅓n)
3n²=⅓n
9n²=n
9n²-n=0
n(9n-1)=0
n=0
√x=0
x=0 ❤
9n-1=0
9n=1
n=⅑
√x=⅑
x=(1/81) ❤