What is ln(2.89755*10^{50}) ?

The solution to ln(2.89755*10^{50}) is ln(2.89755)+50ln(10)

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simplify ln(2.89755*10^{50})

simplify

ln (2.89755 \cdot 1 0^{50})

ln (2.89755) + 50 ln (10)

Decimal Notation

116.19312 \dots

Solution steps

ln (2.89755 \cdot 1 0^{50})

Apply log rule:

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

ln (2.89755 \cdot 1 0^{50}) = ln (2.89755) + ln (1 0^{50})

= ln (2.89755) + ln (1 0^{50})

Apply log rule:

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

ln (1 0^{50}) = 50 ln (10)

= ln (2.89755) + 50 ln (10)

lo g_{b} (\frac{x ^{2}}{y ^{2} z ^{3}})

lo g_{10} (x) - \frac{1}{4} lo g_{10} (y) + 4 lo g_{10} (z)

lo g_{10} (4 x^{5})

lo g_{2} (\frac{32}{x y ^{2}})

\frac{3}{4} ln (x) + ln (x^{2} + 1) - 7 ln (4 x + 5)

What is ln(2.89755*10^{50}) ?
The solution to ln(2.89755*10^{50}) is ln(2.89755)+50ln(10)