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

$$showtbat{log}_a^{(a^2-x^{2)}}=2+{log}_a[1-\frac{x^2}{a^2}]$$

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

$$2+{\log }_a(1-\frac{x^2}{a^2})=$$$$2+{\log }_a\left(\frac{a^2-x^2}{a^2}\right)=$$$$2+\log {}_a(a^2-x^2)-{\log }_a{a}^2=$$$$\log {}_a(a^2-x^2).$$$$$$

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

$$\mathcal{N}ice\mathcal{S}ir!$$

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