Asked by p1
logx^2{base3}=-8
show that x=1/27
show that x=1/27
Answers
Answered by
collins
not that dificult
logx^2=-8
x^2=3^-8
x^2=3^(-2)^3
power 2 cancel out we have
x=3^-3
x=1/3^3
x=1/27
logx^2=-8
x^2=3^-8
x^2=3^(-2)^3
power 2 cancel out we have
x=3^-3
x=1/3^3
x=1/27
Answered by
Reiny
or
log<sub>3</sub> x^2 = -8
2 log<sub>3</sub> x = -8
<sub>3</sub> x = -4
x = 3^-4
x = 1/81 not 1/27
check with calculator
if x = 1/27
<sub>3</sub> (1/27)^2
= 2<sub>3</sub> (1/27)
= 2(-3)
= -6
≠ -8
1/81 does check out.
log<sub>3</sub> x^2 = -8
2 log<sub>3</sub> x = -8
<sub>3</sub> x = -4
x = 3^-4
x = 1/81 not 1/27
check with calculator
if x = 1/27
<sub>3</sub> (1/27)^2
= 2<sub>3</sub> (1/27)
= 2(-3)
= -6
≠ -8
1/81 does check out.
Answered by
collins
oh yeah i did not see that thanks.....
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.