SOLUTION: {{{log(4,x^2-3)}}}+{{{log(4,10)}}}=1

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Question 557670: log%284%2Cx%5E2-3%29+log%284%2C10%29=1
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+log%28+4%2C%28x%5E2-3%29+%29+ + log%28+4%2C10+%29+=+1+
Make the substitution:
+log%28+4%2C4+%29+=+1+
+log%28+4%2C%28x%5E2-3%29+%29+ + log%28+4%2C10+%29+=+log%28+4%2C4+%29+
+log%28+4%2C+10%2A%28x%5E2+-+3%29+%29+=+log%28+4%2C4+%29+
+10%2A%28+x%5E2+-+3+%29+=+4+
+10x%5E2+-+30++=+4+
+10x%5E2+=+34+
+x%5E2+=+3.4+
+x+=+1.844+
check answer:
+log%28+4%2C%283.4-3%29+%29+ + log%28+4%2C10+%29+=+1+
+log%284%2C+.4+%29+%2B+log%28+4%2C+10+%29+=+1+
+log%28+4%2C+%28.4%2A10%29+%29+=+1+
+log%28+4%2C4+%29+=+1+
OK