Question

Which of the following is a solution to the equation log 4 x + log 4 (x – 3) = 1 ?
x = 6/5

x = 2

x = –3

x = 4

Answer 1

Use this on left hand side:

\[\large \log(a) + \log(b) = \log(ab)\]

Answer 2

is 4 the base ??

Answer 3

yeah

Answer 4

\[\log_4(x) + \log_4(x-3) = 1 \implies \log_4(x(x-3)) = \log_4(4)\]

\[x(x-3) = 4\]

Can you proceed further.???

Answer 5

See:

\[x(x-3) = 4 \implies 4(4 - 3) = 4 \times 1\]

So x = 4 is the solution...

Answer 6

so its four?

Answer 7

Yes you are right..

Answer 8

kk :) thanksssss

Answer 9

Welcome dear..

Answer 10

for learning the properties of Logarithms look at this
http://openstudy.com/users/jiteshmeghwal9#/updates/5002ba39e4b0848ddd66b602