Question

thx

Answer 1

first, setting 1 = log 10

Answer 2

now we have the equation :
2 log x = log(2x-10) + 1
2 log x = log(2x-10) + log 10

Answer 3

then use the properties of log to simplify both sides, get
2 log x = log(2x-10) + log 10
log x^2 = log 10*(2x-10)

Answer 4

and if given log a = log b, then a = b. therefore :
if log x^2 = log 10*(2x-10), then
x^2 = 10*(2x-10)
x^2 = 20x - 100

solve for x

Answer 5

got this, but why do i have to set 1 to log 10?
Thanks or helping by the way:)

Answer 6

see the bases of log x^2 and log (2x-10) is 10, right ?

Answer 7

Yes, oh god you saved me
thanks a lot!

Answer 8

you're welcome :)