What is ln(2(7x^2)/(10)) ?

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

- ln (\frac{40}{450})

- 27 + 5 - 5 lo g_{10} (4.84 x 1 0^{- 6})

ln (\frac{x ^{5} y ^{2}}{z})

ln (\frac{1}{2 2})

10.33 - (- 15.98) + 10 lo g_{10} (\frac{800}{600})

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