Question

What is the solution to the equation log4 x + log4 2=3

Answer 1

\[\log_{4}x +\log_{4}2 =3 \]
is that the question?

Answer 2

Use this property:\[\log_a b + \log_a c \to \log_a(b*c)\]

Answer 3

yes

Answer 4

\[\log_{4}x +\log_{4}2 = \log_{4}64 \]
\[\log_{4}(2x) =\log_{4}64 \]
now ignore the logs and you get:
2x=64
x=??

Answer 5

how did you get the 64?

Answer 6

OK, first of all we dealing with logs, so the 3 on the right hand side is and exponent of base 4,
and since we want both sides to have logs to base 4, then we need the actual number which is 4^3 =64, got it?

Answer 7

ohh ok, I get it! thanks

Answer 8

you welcome