What is 0.026ln((0.702)/(8*10^{-16)}) ?

The solution to 0.026ln((0.702)/(8*10^{-16)}) is 0.026(ln(0.702)+ln(5^{16}*8192))

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simplify 0.026ln((0.702)/(8*10^{-16)})

simplify

0.026 ln (\frac{0.702}{8 \cdot 1 0 ^{- 16}})

0.026 (ln (0.702) + ln (5^{16} \cdot 8192))

Decimal Notation

0.89461 \dots

Solution steps

0.026 ln (\frac{0.702}{8 \cdot 1 0 ^{- 16}})

Apply log rule:

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

ln (\frac{0.702}{8 \cdot 1 0 ^{- 16}}) = ln (0.702) - ln (8 \cdot 1 0^{- 16})

= 0.026 (ln (0.702) - ln (1 0^{- 16} \cdot 8))

Multiply

8 \cdot 1 0^{- 16} : \frac{1}{5 ^{16} \cdot 8192}

= 0.026 (ln (0.702) - ln (\frac{1}{5 ^{16} \cdot 8192}))

Apply log rule:

lo g_{a} (\frac{1}{x}) = - lo g_{a} (x)

= 0.026 (ln (0.702) - (- ln (5^{16} \cdot 8192)))

Apply rule

- (- a) = a

= 0.026 (ln (0.702) + ln (5^{16} \cdot 8192))

lo g_{3} (\frac{6 x ^{5}}{7 w ^{2} y ^{3}})

4 (lo g_{a} (x) - 5 lo g_{a} (y)) + 3 lo g_{a} (z)

- 3 ln ∣ x + 2 ∣ + x - ln ∣ x - 2 ∣

ln (\frac{e ^{x}}{sin ( x ) ( x - 2 ) ^{2}})

ln (\frac{e ^{X^{2}} cos ( X )}{2 X})

What is 0.026ln((0.702)/(8*10^{-16)}) ?
The solution to 0.026ln((0.702)/(8*10^{-16)}) is 0.026(ln(0.702)+ln(5^{16}*8192))