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Popular >

simplify (1/2)ln(4t^4)-ln(2)

Solution

simplify

(\frac{1}{2}) ln (4 t^{4}) - ln (2)

Solution

ln (t^{2})

Solution steps

(\frac{1}{2}) ln (4 t^{4}) - ln (2)

Apply log rule:

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

(\frac{1}{2}) ln (4 t^{4}) = ln ((4 t^{4})^{(\frac{1}{2})})

= ln ((4 t^{4})^{(\frac{1}{2})}) - ln (2)

Apply log rule:

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

ln ((4 t^{4})^{(\frac{1}{2})}) - ln (2) = ln \frac{( 4 t ^{4} ) ^{\frac{1}{2}}}{2}

= ln \frac{( 4 t ^{4} ) ^{\frac{1}{2}}}{2}

Simplify

\frac{( 4 t ^{4} ) ^{(\frac{1}{2})}}{2} : t^{2}

= ln (t^{2})

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Frequently Asked Questions (FAQ)

What is (1/2)ln(4t^4)-ln(2) ?
The solution to (1/2)ln(4t^4)-ln(2) is ln(t^2)