What is (2^3-4)/(sqrt(3+3))+ln(1/((3+5)^2)) ?

The solution to (2^3-4)/(sqrt(3+3))+ln(1/((3+5)^2)) is (2^3-4)/(sqrt(3+3))++ln(1)-2ln(3+5)

Popular >

simplify (2^3-4)/(sqrt(3+3))+ln(1/((3+5)^2))

simplify

\frac{2 ^{3} - 4}{3 + 3} + ln (\frac{1}{( 3 + 5 ) ^{2}})

\frac{2 ^{3} - 4}{3 + 3} + + ln (1) - 2 ln (3 + 5)

Decimal Notation

- 2.52588 \dots

Solution steps

\frac{2 ^{3} - 4}{3 + 3} + ln (\frac{1}{( 3 + 5 ) ^{2}})

Apply log rule:

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

ln (\frac{1}{( 3 + 5 ) ^{2}}) = ln (1) - ln ((3 + 5)^{2})

= \frac{2 ^{3} - 4}{3 + 3} + + ln (1) - ln ((3 + 5)^{2})

Apply log rule:

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

ln ((3 + 5)^{2}) = 2 ln (3 + 5)

= \frac{2 ^{3} - 4}{3 + 3} + + ln (1) - 2 ln (3 + 5)

- lo g_{10} (4.91 \cdot 1 0^{- 4})

lo g_{10} (\frac{115}{x ^{3}})

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

5 lo g_{3} (x) - 2 lo g_{3} (y)

\frac{1}{5} lo g_{3} (2)

What is (2^3-4)/(sqrt(3+3))+ln(1/((3+5)^2)) ?
The solution to (2^3-4)/(sqrt(3+3))+ln(1/((3+5)^2)) is (2^3-4)/(sqrt(3+3))++ln(1)-2ln(3+5)