What is x if log2 (3+log3(x))=2? 2,3 are bases of logarithms

If log 2 (3+ log 3 (x))=
2

then it means that 2^2=(3+log 3
x)

2^2 =4

4=3+log 3
(x)

Subtract three to both
sides

1= log 3 (x)

using the
definition of logs again

3^1 =
x

x= 3

The only
value accepted was a solution to this eqaution is
x=3

 

Actually,
log just mean the opposite of exponents, so when you take off a log a where a as the
base, exponent the other side with "a".

You can checkyour
answer by plugging it in and see if it matches the definition of
logs