SOLUTION: solve each equitation round to the nearest four decimal (a) 6^3x+104 (b) log2+log(4x-1)=3

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Question 1028899: solve each equitation round to the nearest four decimal
(a) 6^3x+104
(b) log2+log(4x-1)=3
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(a) is not an equation ( no = sign )
(b)
+log%282%29+%2B+log%28+4x-1+%29+=+3+
The key here is to express +3+ as a log
+log%282%29+%2B+log%28+4x-1+%29+=+log%28+1000+%29+
+log%28+2%2A%28+4x-1+%29+%29+=+log%28+1000+%29+
+2%2A%28+4x-1+%29+=+1000+
+8x+-+2+=+1000+
+8x+=+1002+
+x+=+125.25+
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check answer:
+log%282%29+%2B+log%28+4x-1+%29+=+3+
+log%282%29+%2B+log%28+4%2A125.25-1+%29+=+3+
+log%282%29+%2B+log%28+501-1+%29+=+3+
+log%282%29+%2B+log%28+500+%29+=+3+
+log%28+2%2A500+%29+=+3+
+log%28+1000+%29+=+3+
+10%5E3+=+1000+
+1000+=+1000+
OK