SOLUTION: Log base4 (x^2 - 3) + Lobg base4 10=1

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Question 533554: Log base4 (x^2 - 3) + Lobg base4 10=1
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x?
Log%5B4%5D%28x%5E2-3%29%2BLog%5B4%5D%2810%29+=+1 Apply the product rule for logarithms:Log%5Bb%5D%28x%29%2BLog%5Bb%5D%28y%29+=+Log%5Bb%5D%28x%2Ay%29
Log%5B4%5D%28%28x%5E2-3%29%2810%29%29+=+1 Simplify.
Log%5B4%5D%2810x%5E2-30%29+=+1 Rewite in exponential form:
4%5E1+=+10x%5E2-30 Add 30 to both sides.
34+=+10x%5E2 Divide by 10.
3.4+=+x%5E2 Take the square root of both sides.
sqrt%283.4%29+=+x So...
x+=+sqrt%283.4%29 or x+=+-sqrt%283.4%29