SOLUTION: solve for x: log base 4(x^2+3x)=1+log base 4(x=5)

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Question 118887: solve for x:
log base 4(x^2+3x)=1+log base 4(x=5)

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Step 1: Add to both sides



Step 2: Apply



Step 3: Apply the => equivalency



Step 4: Multiply both sides by (x + 5)



Step 5: Collect terms and put in standard form



Step 6: Factor



or

Check:

but since , so

, so checks


but since , so

, so checks

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