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Popular >

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

Solution

simplify

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

Solution

ln (\frac{z ^{2} + 1}{x ^{2}})

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

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

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

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

= ln (\frac{z ^{2} + 1}{x ^{2}})

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Frequently Asked Questions (FAQ)

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