SOLVE for x | log_3(x-2) + log_3(x-4) = 2

[Deleted member 6191]

HELP i've gotten 3 different answers and yet when checking it's been wrong every time????

 

[Deleted member 3990]

3 and root of 10

idk, havent done maths in ages

 

[Deleted member 7820]

I didn't even get my high school diploma.

 

[Deleted member 6191]

3 and root of 10

idk, havent done maths in ages

I got that, but idk maybve I'm checking wrong but it doesn't =2 idk.

 

[Deleted member 6191]

I didn't even get my high school diploma.

A brother regardless

 

[Patrick Baitman]

Does log_3(x-2) means log of (x-3) to the base 3

 

[THEMOGEE]

x= 3+√10

 

[Gosick]

 

[DharkDC]

log3[(x-2)(x-4)] =2
log3[x^2-6x+8]=2
3^2=x^2-6x+8
9=x^2-6x+8
0=x^2-6x-1

x=3+root 10
x=3-root 10

 

[Deleted member 6191]

Does log_3(x-2) means log of (x-3) to the base 3

It's the log and then the subtext 3.

log3[(x-2)(x-4)] =2
log3[x^2-6x+8]=2
3^2=x^2-6x+8
9=x^2-6x+8
0=x^2-6x-1

x=3+root 10
x=3-root 10

x= 3+√10

When I check the answer it doesn't = 2.
When I use 5 [symbolab gives this] it =2?

log_{3}((_{5+4})(_{5-4}))=2

Free log equation calculator - solve log equations step-by-step

www.symbolab.com