I'm preparing for my further studies (last year of high school, preparing so I can try and join the academy that I want), and just solving problems. Got stuck on this one:

What is the value of: $$log_4log_3log_28 + log_{\sqrt{7}+1}(8+2\sqrt{7})+log_{\sqrt[3]{7}}7\sqrt{7}$$

This is what I got so far:

$log_4log_3log_28 = log_4log_33=log_41=0$



$log_4log_3log_28 + log_{\sqrt{7}+1}(8+2\sqrt{7})+log_{\sqrt[3]{7}}7\sqrt{7} \\= 0 + log_{\sqrt{7}+1}(8+2\sqrt{7}) + {9\over2}\\={9\over2}+log_{\sqrt{7}+1}(8+2\sqrt{7})$

I'm lost at what to do with $log_{\sqrt{7}+1}(8+2\sqrt{7})$


Hint: $$8+2\sqrt{7}=(\sqrt{7}+1)^2$$


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.