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if it was (x-10)*2 = (x-2)*3
what would you do? I would distribute, and combine "like terms"

btw, I assume you meant log(3) = 0.47712 (not 4.77)

so do this
\[ (x-10)(.903)=(x-2)(0.477) \\
0.903x -9.03 = 0.477x -0.954
\]

can you finish?

Yea one sec

.426x=-.051
-/051/.426=-.119

Except x is supposed to = 23.44 ... So I did something wrong

I get 10.57.... not 23.44

what do you get for the top? (btw, I'm getting 23.44102, so it does work out)

I type in 10log(8)+2log(3) and get 9.985...

ok, now the bottom

.4259...

I get 0.425969 which rounds to 0.4260 to 4 digits
but ok
now
9.985/ 0.426

if you keep more digits , you will get a more accurate answer

but I would learn how to use a calculator (it is a useful to know how to do complicated expressions)