show-tbat-log-a-a-2-x-2-2-log-a-1-x-2-a-2-

Question Number 25313 by ibraheem160 last updated on 08/Dec/17

s h o w t b a t {l o g}_{a}^{(a^{2} - x^{2)}} = 2 + {l o g}_{a} [1 - \frac{x^{2}}{a^{2}}]

Answered by jota+ last updated on 08/Dec/17

2 + \log_{a} (1 - \frac{x^{2}}{a^{2}}) =

2 + \log_{a} (\frac{a^{2} - x^{2}}{a^{2}}) =

2 + \log_{a} (a^{2} - x^{2}) - \log_{a} a^{2} =

\log_{a} (a^{2} - x^{2}) .

Commented by Rasheed.Sindhi last updated on 08/Dec/17

N i c e S i r!