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Popular >

simplify ln(1-x^2)*ln(1-x^2)

Solution

simplify

ln (1 - x^{2}) \cdot ln (1 - x^{2})

Solution

ln^{2} (- x^{2} + 1)

Solution steps

ln (1 - x^{2}) ln (1 - x^{2})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

ln (1 - x^{2}) ln (1 - x^{2}) = ln^{1 + 1} (1 - x^{2})

= ln^{1 + 1} (1 - x^{2})

Add the numbers:

1 + 1 = 2

= ln^{2} (1 - x^{2})

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Frequently Asked Questions (FAQ)

What is ln(1-x^2)*ln(1-x^2) ?
The solution to ln(1-x^2)*ln(1-x^2) is ln^2(-x^2+1)