SOLUTION: Please solve for x: (a)logx 125/216 = 3 (b)log2 1/8 = x (c)log1/4 x=-3 with steps and complete answers please!

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Please solve for x: (a)logx 125/216 = 3 (b)log2 1/8 = x (c)log1/4 x=-3 with steps and complete answers please!      Log On


   

Question 1152556: Please solve for x:
(a)logx 125/216 = 3
(b)log2 1/8 = x
(c)log1/4 x=-3
with steps and complete answers please!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(a)
+log%28+x%2C+125%2F216+%29+=+3+
+x%5E3+=+125%2F216+
+x%5E3+=+5%5E3+%2F+6%5E3+
+x%5E3+=+%28+5%2F6+%29%5E3+
+x+=+5%2F6+
------------------------
(b)
+log%28+2%2C+1%2F8+%29+=+x+
+2%5Ex+=+1%2F8+
+2%5Ex+=+1%2F2%5E3+
+2%5Ex+=+2%5E%28-3%29+
+x+=+-3+
------------------------
(c)
+log%28+1%2F4%2C+x+%29+=+-3+
+%28+1%2F4+%29%5E%28-3%29+=+x+
+1+%2F+%281%2F4%29%5E3+=+x+
+4%5E3+=+x+
+x+=+64+
------------------------
check the math, also