Question

log base √a of a^2

Answer 1

Hint: \(\large a^2 = (\sqrt{a})^4\). Thus, \(\large \log_{\sqrt{a}}(a^2) = \log_{\sqrt{a}}((\sqrt{a})^4) = \ldots\).

Can you proceed from here? :-)

Answer 2

Give me some time to think this through.Thanks

Answer 3

No problem. Another possible approach (which might be simpler) is to suppose that \(\large \log_{\sqrt{a}}(a^2)= x\) and then rewrite this in exponential form as follows: \(\large \large (\sqrt{a})^x = a^2\) and then solve for x. Either way, you'll get the same answer.

I hope this makes sense! :-)

Answer 4

Yes,the second one seems easier.I guess I'll try both.Thank you so much :)

Answer 5

No problem. Glad to be of assistance. :-)