What is ln(((a^2+h^2))/(2h)) ?

The solution to ln(((a^2+h^2))/(2h)) is ln(a^2+h^2)-ln(2)-ln(h)

Popular >

simplify ln(((a^2+h^2))/(2h))

simplify

ln (\frac{( a ^{2} + h ^{2} )}{2 h})

ln (a^{2} + h^{2}) - ln (2) - ln (h)

Solution steps

ln (\frac{( a ^{2} + h ^{2} )}{2 h})

Apply log rule:

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

ln (\frac{( a ^{2} + h ^{2} )}{2 h}) = ln ((a^{2} + h^{2})) - ln (2 h)

= ln (h^{2} + a^{2}) - ln (2 h)

Apply log rule:

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

ln (2 h) = ln (2) + ln (h)

= ln (h^{2} + a^{2}) - (ln (h) + ln (2))

- (ln (2) + ln (h)) : - ln (2) - ln (h)

= ln (a^{2} + h^{2}) - ln (2) - ln (h)

- lo g_{10} (\frac{1 0 ^{- 14}}{4.54 \cdot 1 0 ^{- 3}})

ln (\frac{104}{114})

lo g_{10} (\frac{( y ^{5} )}{z ^{2} x ^{3}})

lo g_{a} (\frac{( a ^{4} ) b}{c ^{3}})

lo g_{10} (\frac{10}{1 + 4 e ^{- 0.8 x}})

What is ln(((a^2+h^2))/(2h)) ?
The solution to ln(((a^2+h^2))/(2h)) is ln(a^2+h^2)-ln(2)-ln(h)