Question

Which equation is equivalent to
log3(2x4 + 8x3) – 3log3x = 2log3x?

Answer 1

the answer is log3 (2x+8)=log3 x²

Explanation:

log3(2x^4+8x^3)-3log3x=2log3x

simplifying the above we get:

log3(2x^4+8x^3)=2log3x+3log3x

log3(2x^4+8x^3)=5log2x

Hence the answer should be:

log3 (x³)*(log3(2x+8))=5log3 x

3log3 x+log3(2x+8)=5log3 x

log3(2x+8)=5log3 x-3log3 x

log3 (2x+8)=2log3 x

log3 (2x+8)=log3 x²