Question

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

Answer 1

Do you mean,
\[\log_4x+\log_4(x-3)=1\]

Answer 2

yes

Answer 3

Then use the properties of logarithms,
\[\log_ax+\log_ay=\log_a(xy)\]\[\log_ax=1\Rightarrow x=a\]
\[\log_4 x+\log_4(x-3)=1\Rightarrow \log_4\left(x(x-3)\right)=1\Rightarrow x(x-3)=4\]
And solve for x. Do you understand it and know how to solve it?

Answer 4

not really

Answer 5

ohhh i get it now

Answer 6

thanks

Answer 7

;), only to check it, the only (good) solution is 4.

Answer 8

1 over the square root of 8 = 4(m + 3)

Answer 9

can you help with this too

Answer 10

Do you mean,
\[\frac{1}{\sqrt{8}}=4(m+3)\]

Answer 11

yes

Answer 12

i taught it was 9/4 but its not

Answer 13

Then, it is a matter of solve for m,
\[(m+3)=\frac{1}{4\sqrt{8}}\Rightarrow m=\frac{1}{4\sqrt{8}}-3\]

Answer 14

You can "simplify" a little of express it in various forms,
\[m=\frac{1-24\sqrt{2}}{8\sqrt{2}}=\frac{\sqrt{2}-48}{16}\]

Answer 15

or express it, I mean.

Answer 16

-2.911

Answer 17

Yes ;).