SOLUTION: 3logx=log512-log8 Solve and check.

Algebra.Com
Question 608759: 3logx=log512-log8
Solve and check.

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
3logx=log512-log8
Solve and check.
3logx=log512-log8
3logx-log512+log8=0
log[(x^3)*8)/512]=0
convert to exponential form
10^0=(x^3)*8)/512=1
8x^3=512
Take cube root of both sides
2x=8
x=4
Check:
3log(4)≈1.8062
log512-log8≈1.0862
left side=right side

RELATED QUESTIONS

solve for x :... (answered by nerdybill)
How do you solve... (answered by jsmallt9)
Solve... (answered by Theo)
log8 (answered by stanbon,lynnlo)
Please solve:... (answered by Alan3354,stanbon)
solve... (answered by nerdybill)
solve for x... (answered by nerdybill)
If log8 3 = 0.5283 and log8 5 = 0.7740, then what is the value of log8 45... (answered by nerdybill)
Given that log8 5 = 0.7740 and log8 11 = 1.1531 evaluate the expression log8... (answered by Alan3354)