SOLUTION: solve the equation.
log(base 3)x^2=(log(base3)x)^2
Algebra.Com
Question 465693: solve the equation.
log(base 3)x^2=(log(base3)x)^2
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
solve the equation.
log(base 3)x^2=(log(base3)x)^2
..
log3(x^2)=(log3(x))^2
2log3(x)=(log3(x))^2
(log3(x))^2-2log3(x)=0
log3(x)(log3(x)-2)=0
log3(x)=0 (reject, log3(x)>0)
..
log3(x)-2=0
log3(x)=2
x=9
Check:
log3(9^2)=log3(81)=4
(log(base3)x)^2=(log3(9))^2=(2)^2=4
left side=right side
RELATED QUESTIONS
Use properties of logarithms to solve the equation log(base3)x + log(base3)(x + 2) =... (answered by ankor@dixie-net.com)
log base3 (x+2)+log... (answered by ankor@dixie-net.com)
Solve: log [base3] (x^3 +3) = log [base9] (x^2) + log [base√3] 2
*√;... (answered by richwmiller)
log(base3)((x^3)+3)=log(base9)(x^2) + log(base√3)(2)
*corrected... (answered by stanbon)
2log base3(x+4)=log base 3 9+2
solve for... (answered by solver91311)
log(Base3)(x-1)... (answered by rapaljer)
1/2 log base3 X= 2 log base3 2 (answered by edjones)
solve the equation.
log base b (X+3) = log base b (8) - log base b... (answered by lwsshak3)
Use properties of logarithms to solve the equation log(base3)y – log(base3)7 =... (answered by nerdybill)