Okay so I have a couple more questions about logarithms.

Question

anonymous · Answer

"Which shows 3^-4 = 1/18 in logarithmic form?"
A.$$\log _{-4}3 = \frac{ 1 }{ 81 }$$B.$$\log _{3}(-4) = \frac{ 1 }{ 81 }$$C.$$\log _{3}(\frac{ 1 }{ 81 }) = -4$$D. $$\log _{-4}(\frac{ 1 }{ 81 }) = 3$$

anonymous · Answer

c

anonymous · Answer

U know how to did i change it ?

anonymous · Answer

1/18 or 1/81

anonymous · Answer

She meant 81

anonymous · Answer

I meant 1/81, sorry

anonymous · Answer

I don't quite understand how you got the answer, please feel free to explain!

anonymous · Answer

Eyad explain her,please

anonymous · Answer

Here is the law of changing :
$$\Large Log_{a}b=c $$
TO change that in to exponential :
$$\Large a^{c}=b$$

anonymous · Answer

Oh okay! I understand now, thanks!

anonymous · Answer

I have just one more question, if that's okay?

anonymous · Answer

Sure ,Feel free to ask anything :P

anonymous · Answer

Step 1:$$4^{x-1}=64^{x+3}$$Step 2:$$4^{x-1}=(4^{3})^{x+3}$$Step 3:$$4^{x-1}=4^{3x+9}$$
What would be the next step?
A. 4 = 3x + 9
B. x - 1 = -(3x + 9)
C. x - 1 = x + 3
D. x - 1 = 3x + 9

anonymous · Answer

Since Base (4) = Base (4)
therefore power =power
which mean  X-1=3x+9

anonymous · Answer

Okay! Thank you, again!

anonymous · Answer

:)