What is ln|5+3|+70e^3(3)+80-ln(5) ?

The solution to ln|5+3|+70e^3(3)+80-ln(5) is ln(8/5)+210e^3+80

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simplify ln|5+3|+70e^3(3)+80-ln(5)

simplify

ln ∣ 5 + 3 ∣ + 70 e^{3} (3) + 80 - ln (5)

ln (\frac{8}{5}) + 210 e^{3} + 80

Decimal Notation

4298.43275 \dots

Solution steps

ln ∣ 5 + 3 ∣ + 70 e^{3} (3) + 80 - ln (5)

Apply log rule:

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

ln ∣ 5 + 3 ∣ - ln (5) = ln (\frac{∣ 5 + 3 ∣}{5})

= ln (\frac{∣ 5 + 3 ∣}{5}) + 70 \cdot 3 e^{3} + 80

∣ 5 + 3 ∣ = 8

= ln (\frac{8}{5}) + 70 e^{3} \cdot 3 + 80

Multiply the numbers:

70 \cdot 3 = 210

= ln (\frac{8}{5}) + 210 e^{3} + 80

lo g_{4} (\frac{1}{16 x ^{2} z ^{3}})

lo g_{a} (12 x^{3} y)

ln (\frac{( \frac{0.302}{0.294} )}{9.9})

- lo g_{10} (2.4 \cdot 1 0^{- 3})

6 ln (x - 3) - ln (x^{2} - 8 x + 15) + 2 ln (x - 5)

What is ln|5+3|+70e^3(3)+80-ln(5) ?
The solution to ln|5+3|+70e^3(3)+80-ln(5) is ln(8/5)+210e^3+80