What is ln(1300)-ln(100*e^{0.09}) ?

The solution to ln(1300)-ln(100*e^{0.09}) is ln(11.88110…)

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simplify ln(1300)-ln(100*e^{0.09})

simplify

ln (1300) - ln (100 \cdot e^{0.09})

ln (11.88110 \dots)

Decimal Notation

2.47494 \dots

Solution steps

ln (1300) - ln (100 e^{0.09})

Apply log rule:

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

ln (1300) - ln (100 e^{0.09}) = ln (\frac{1300}{100 e ^{0.09}})

= ln (\frac{1300}{100 e ^{0.09}})

\frac{1300}{100 e ^{0.09}} = 11.88110 \dots

= ln (11.88110 \dots)

4 lo g_{6} (x) + 5 lo g_{6} (y)

2 lo g_{10} (x - 2) - lo g_{10} (x)

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

lo g_{3} (\frac{9}{x + 4})

5 lo g_{b} (x) - lo g_{b} (y)

What is ln(1300)-ln(100*e^{0.09}) ?
The solution to ln(1300)-ln(100*e^{0.09}) is ln(11.88110…)