What is 20e^9+ln(12)+50+ln(9) ?

The solution to 20e^9+ln(12)+50+ln(9) is 20e^9+ln(108)+50

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simplify 20e^9+ln(12)+50+ln(9)

simplify

20 e^{9} + ln (12) + 50 + ln (9)

20 e^{9} + ln (108) + 50

Decimal Notation

162116.36068 \dots

Solution steps

20 e^{9} + ln (12) + 50 + ln (9)

Apply log rule:

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

ln (12) + ln (9) = ln (12 \cdot 9)

= 20 e^{9} + ln (12 \cdot 9) + 50

Multiply the numbers:

12 \cdot 9 = 108

= 20 e^{9} + ln (108) + 50

4 lo g_{10} (x) + 3 lo g_{10} (y) - 2 lo g_{10} (z)

3 ln (\frac{a}{2}) + 2 ln (2 b)

\frac{1}{2} ln (\frac{3}{4})

4 lo g_{2} (x) + lo g_{2} (3) - 2 lo g_{2} (x^{2})

lo g_{3} (x^{5} y^{3})

What is 20e^9+ln(12)+50+ln(9) ?
The solution to 20e^9+ln(12)+50+ln(9) is 20e^9+ln(108)+50