What is 1.017*ln(500/300)-0.287*ln(650/100) ?

The solution to 1.017*ln(500/300)-0.287*ln(650/100) is ln(0.98245…)

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simplify 1.017ln(500/300)-0.287ln(650/100)

simplify

1.017 \cdot ln (\frac{500}{300}) - 0.287 \cdot ln (\frac{650}{100})

ln (0.98245 \dots)

Decimal Notation

- 0.01769 \dots

Solution steps

1.017 ln (\frac{500}{300}) - 0.287 ln (\frac{650}{100})

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

1.017 ln (\frac{500}{300}) = ln ((\frac{500}{300})^{1.017})

= ln ((\frac{500}{300})^{1.017}) - 0.287 ln (\frac{650}{100})

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

0.287 ln (\frac{650}{100}) = ln ((\frac{650}{100})^{0.287})

= ln ((\frac{500}{300})^{1.017}) - ln ((\frac{650}{100})^{0.287})

Apply log rule:

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

ln ((\frac{500}{300})^{1.017}) - ln ((\frac{650}{100})^{0.287}) = ln (\frac{( \frac{500}{300} ) ^{1.017}}{( \frac{650}{100} ) ^{0.287}})

= ln (\frac{( \frac{500}{300} ) ^{1.017}}{( \frac{650}{100} ) ^{0.287}})

\frac{( \frac{500}{300} ) ^{1.017}}{( \frac{650}{100} ) ^{0.287}} = 0.98245 \dots

= ln (0.98245 \dots)

- \frac{1}{4} ln (2 t - 1) + \frac{3}{4} ln (2 t + 1)

2 lo g_{0.29} (2) - lo g_{0.29} (13)

lo g_{10} (x^{2} y z^{3})

(ln (1.3) - ln (0.54)) \cdot 182000

ln (\frac{y ^{3}}{7})

What is 1.017*ln(500/300)-0.287*ln(650/100) ?
The solution to 1.017*ln(500/300)-0.287*ln(650/100) is ln(0.98245…)