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Popular >

simplify ln((7x^2)/(10))

Solution

simplify

ln (\frac{7 x ^{2}}{10})

Solution

ln (7) + 2 ln (x) - ln (10)

Solution steps

ln (\frac{7 x ^{2}}{10})

Apply log rule:

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

ln (\frac{7 x ^{2}}{10}) = ln (7 x^{2}) - ln (10)

= ln (7 x^{2}) - ln (10)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (7 x^{2}) = ln (7) + ln (x^{2})

= ln (7) + ln (x^{2}) - ln (10)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

= ln (7) + 2 ln (x) - ln (10)

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Frequently Asked Questions (FAQ)

What is ln((7x^2)/(10)) ?
The solution to ln((7x^2)/(10)) is ln(7)+2ln(x)-ln(10)