SOLUTION: Solve: -11 + 15 log 6x = 45 How to solve?

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Question 698455: Solve: -11 + 15 log 6x = 45
How to solve?
Found 2 solutions by lwsshak3, josmiceli:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
-11 + 15 log 6x = 45
15 log 6x = 56
log6x=56/15
convert to exponential form: base(10) raised to log of number(56/15)=number(6x)
10^(56/15)=6x
6x≈5411.6953
x≈901.9492
check:
15log6x-11=55.9999-11=44.9999≈45

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+-11+%2B+15%2Alog%28+6x+%29+=+45+
+15%2Alog%28+6x+%29+=+56+
+log%28+6x+%29+=+56%2F15+
+log%28+6x+%29+=+3.7333+
+log%286%29+%2B+log%28x%29+=+3.7333+
+log%28x%29++=+3.7333+-+log%286%29+
+log%28x%29++=+3.7333+-+.7781+
+log%28x%29+=+2.9551+
+x+=+10%5E2.9551+
+x+=+901.78+
--------------
check answer:
+-11+%2B+15%2Alog%28+6%2A901.78+%29+=+45+
+15%2Alog%28+5410.68+%29+=+56+
+log%28+5410.68+%29+=+3.7333+
++3.73325+=+3.7333+
I think the error is due to rounding off