Question

1/2 log (X power 4) - log (2x-1)= log(X power 2)+log 2. if u answer to this question I will mark you as brainleast​

Answer 1

${\large{\boxed{\sf{\frac{1}{2} log(x⁴)-log(2x-1)=log(x²)}}}}$

=${\large{\boxed{\sf{\frac{log(x⁴)-2log(2x-1)}{2}=log(x²)}}}}$

=${\large{\boxed{\sf{log(x⁴)-2log(2x-1)=2log(x²)}}}}$

=${\large{\boxed{\sf{log(x⁴)-log(2x-1)²=log(x²)²}}}}$

=${\large{\boxed{\sf{log(\frac{x⁴}{(2x-1)²})=log(x⁴)}}}}$

=${\large{\boxed{\sf{\frac{x⁴}{(2x-1)²}=x⁴}}}}$

=${\large{\boxed{\sf{(2x-1)²=1}}}}$

=${\large{\boxed{\sf{2x-1=1}}}}$

=${\large{\boxed{\red{\sf{x=1}}}}}$