What is 1.005*ln(1.687)-0.287*ln(4.5) ?

The solution to 1.005*ln(1.687)-0.287*ln(4.5) is ln(1.09844…)

Popular >

simplify 1.005ln(1.687)-0.287ln(4.5)

simplify

1.005 \cdot ln (1.687) - 0.287 \cdot ln (4.5)

ln (1.09844 \dots)

Decimal

0.09389 \dots

Solution steps

1.005 ln (1.687) - 0.287 ln (4.5)

Apply log rule:

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

1.005 ln (1.687) = ln (1.68 7^{1.005})

= ln (1.68 7^{1.005}) - 0.287 ln (4.5)

Apply log rule:

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

0.287 ln (4.5) = ln (4. 5^{0.287})

= ln (1.68 7^{1.005}) - ln (4. 5^{0.287})

Apply log rule:

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

ln (1.68 7^{1.005}) - ln (4. 5^{0.287}) = ln (\frac{1.68 7 ^{1.005}}{4. 5 ^{0.287}})

= ln (\frac{1.68 7 ^{1.005}}{4. 5 ^{0.287}})

\frac{1.68 7 ^{1.005}}{4. 5 ^{0.287}} = 1.09844 \dots

= ln (1.09844 \dots)

ln^{2} (x) + 2 ln (x)

ln (\frac{0.75}{0.691 \cdot 1 0 ^{11}})

ln ((\frac{2}{x})^{5} \cdot 20)

ln (1 + x) - ln (x)

\frac{1}{2} ln (\frac{z}{2 x}) + \frac{1}{2} ln (\frac{z}{2 y})

What is 1.005*ln(1.687)-0.287*ln(4.5) ?
The solution to 1.005*ln(1.687)-0.287*ln(4.5) is ln(1.09844…)