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If 4 (log3 1/27)=X what is the value of X

User Bbaytemir
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2 Answers

4 votes
Heyy!

So, iloveonedirection's response would have been correct if there weren't parenthesis around the log equation, its a mistake that literally happens to everyone, I know from experience lol.

Ok so first, lets simplify (log3 1/27):
log(base) of answer= exponent, so we can determine that the base is 3, the answer is 1/27 and the exponent is what we want. so:
3^x = 1/27 , so x= -3 when you solve.
this allows you to substitute -3 for (log3 1/27)

now that leaves you with:
4 (-3) = x
-12 =x

to check your work, just use the calculator:
[log (1/27) /log 3] * 4
which = -12

Hope you understand what I'm trying to say. ;)
Tip: always plug in to a calculator if you aren't sure, have extra time on a test, or anything else lol
Good luck love! you got this :) xx
User Amacrobert
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8.2k points
2 votes

4(log _(3) 1/27) =x

log _(3) (1)/(27)^4 =x

Now remember:
b^y=x \\ equals \\ log _(b)x=y


3^x = (1)/(27)^4

3^x = (1)/(531441)

log _(3) (1)/(531441) =x

(ln(1)/(531441))/(ln3) = x

(1)/(531441) = 0.000002
you can now enter this into your calculator...

Answer: x = -0.083


User Goodlife
by
7.8k points

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