SOLUTION: Find the EXACT solution to the equation below. ((log(x^3)+log(x^6))/log10x)=5 I tried solving it and I don't quite know if my answer is correct. ((log(x^3)+log(x^6))/log10x)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Find the EXACT solution to the equation below. ((log(x^3)+log(x^6))/log10x)=5 I tried solving it and I don't quite know if my answer is correct. ((log(x^3)+log(x^6))/log10x)      Log On


   

Question 1018312: Find the EXACT solution to the equation below.
((log(x^3)+log(x^6))/log10x)=5
I tried solving it and I don't quite know if my answer is correct.
((log(x^3)+log(x^6))/log10x)=5
((x^3+x^6)/10x)=10^5
x^3+x^6-10x = 10^5
x^3+x^6-10x-10^5=0

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Find the EXACT solution to the equation below.
((log(x^3)+log(x^6))/log10x)=5
I tried solving it and I don't quite know if my answer is correct.
((log(x^3)+log(x^6))/log10x)=5
((x^3+x^6)/10x)=10^5
x^3+x^6-10x = 10^5
x^3+x^6-10x-10^5=0
Sorry, you're way off!!

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log+%28%28x%5E3%29%29+%2B+log+%28%28x%5E6%29%29+=+5+%2A+log+%28%2810x%29%29 ------------ Cross-multiplying

 --- Applying log+%28%28ab%29%29 = log+%28%28a%29%29+%2B+log+%28%28b%29%29

log+%28%28x%5E3%29%29+%2B+log+%28%28x%5E6%29%29+=+5+%2A+%281+%2B+log+%28%28x%29%29%29

log+%28%28x%5E3%29%29+%2B+log+%28%28x%5E6%29%29+=+5+%2B+5+%2A+log+%28%28x%29%29%29

log+%28%28x%5E3%29%29+%2B+log+%28%28x%5E6%29%29+-+5+%2A+log+%28%28x%29%29+=+5

log+%28%28x%5E3%29%29+%2B+log+%28%28x%5E6%29%29+-+log+%28%28x%5E5%29%29+=+5

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