Find x in the problem below

Question

 4^{log₄(x) +log₄(2)} =3 what does X equal?

Answer 1

Apply the rules of logs on the exponents.

 

4^log₄(2x) = 3

 

 

Let       y = log₄(2x)

 

Then,

 

4^y = 3

 

 

ylog4 = log3

 

y = log3 / log4

 

y = 0.7925

 

 

Substituting back,

 

log₄(2x) = 0.7925

 

4^0.7925 = 2x

 

 

Now solve for x.