logarithm help

[undone bough]

baba tū est

[ember fiber]

help???

[twin basalt]

What do you need help with? Do you understand the question? What have you tried? Do you know the logarithm rules?

[ember fiber]

I do understand the question and the logarithm rules, and I tried a lot of ways, i can't get $\frac{x}{y}$

[undone bough]

baba tū est

[rustic kernel]

Use base changing formula first then further proceed

[ember fiber]

so like
$\frac{\log_{3}(x)}{\log_{3}(9)}=\frac{\log_{3}(y)}{\log_{3}(12)}$

[undone bough]

baba tū est

[ember fiber]

for the relation between 1st and 2nd

[ember fiber]

ohh I found it
it's $\frac{\sqrt{5}-1}{2}$

[undone bough]

baba tū est

[ember fiber]

.close