The mistake lies in the fact that the logarithms have different bases. The one-to-one property of logarithms cannot be applied unless the bases are identical. <span>To correct this, the change of base formula should be used to express the logarithms with a uniform base. I have confirmed this using Edge.</span>
The greatest common factor shared by 32 and 44 is 4. This is factored out as follows: 4(8 + 11) = 4(8 + 11), which appears strange to me, but that's how most textbooks illustrate the factoring process.