What is 24(136ln^2(7)-4ln^2(5)) ?

The solution to 24(136ln^2(7)-4ln^2(5)) is 24ln^2((7^{136})/(625))

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simplify 24(136ln^2(7)-4ln^2(5))

simplify

24 (136 ln^{2} (7) - 4 ln^{2} (5))

24 ln^{2} (\frac{7 ^{136}}{625})

Decimal Notation

1600088.47719 \dots

Solution steps

24 (136 ln^{2} (7) - 4 ln^{2} (5))

Apply log rule:

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

136 ln^{2} (7) = ln^{2} (7^{136})

= 24 (ln^{2} (7^{136}) - 4 ln^{2} (5))

Apply log rule:

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

4 ln^{2} (5) = ln^{2} (5^{4})

= 24 (ln^{2} (7^{136}) - ln^{2} (5^{4}))

Apply log rule:

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

ln^{2} (7^{136}) - ln^{2} (5^{4}) = ln^{2} (\frac{7 ^{136}}{5 ^{4}})

= 24 ln^{2} (\frac{7 ^{136}}{5 ^{4}})

5^{4} = 625

= 24 ln^{2} (\frac{7 ^{136}}{625})

6.1 + lo g_{10} (\frac{24}{( 0.03 \cdot 30 )})

ln (\frac{x ^{2} + y ^{2} \cdot 2 + arctan ( \frac{y}{x} )}{2})

- ln (x) - ln (4 x)

ln ((x^{2} - 2 x - 24) (x^{2} - 3 x))

ln (3 x^{2} - 3) - ln (x^{2})

What is 24(136ln^2(7)-4ln^2(5)) ?
The solution to 24(136ln^2(7)-4ln^2(5)) is 24ln^2((7^{136})/(625))