Lutasin ang 3log5=a^2log3=btext{nillar}6log10?

$$3 \log 5 = a ^ { 2 } \log 3 = b \text { nillar } 6 \log 10 ?$$

I-evaluate (complex solution)

$$\left(a=-\sqrt{3\log_{3}\left(5\right)}\text{ or }a=\sqrt{3\log_{3}\left(5\right)}\right)\text{ and }\log(3)a^{2}=b$$

I-solve ang b

$$b=\log(3)a^{2}$$

$$a = \frac{\sqrt{3 \log_{e} {(5)}}}{\sqrt{\log_{e} {(3)}}} = 2.096406583216572$$

I-solve ang a

$$a=-\sqrt{\frac{b}{\log(3)}}$$

$$a=\sqrt{\frac{b}{\log(3)}}\text{, }b=\frac{3\ln(5)}{\ln(10)}$$