What is 0.0259*ln((10^{15})/(1.5*10^{10)}) ?

The solution to 0.0259*ln((10^{15})/(1.5*10^{10)}) is 0.0259(15ln(10)-ln(1.5*10^{10}))

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simplify 0.0259ln((10^{15})/(1.510^{10)})

simplify

0.0259 \cdot ln (\frac{1 0 ^{15}}{1.5 \cdot 1 0 ^{10}})

0.0259 (15 ln (10) - ln (1.5 \cdot 1 0^{10}))

Decimal Notation

0.28768 \dots

Solution steps

0.0259 ln (\frac{1 0 ^{15}}{1.5 \cdot 1 0 ^{10}})

Apply log rule:

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

ln (\frac{1 0 ^{15}}{1.5 \cdot 1 0 ^{10}}) = ln (1 0^{15}) - ln (1.5 \cdot 1 0^{10})

= 0.0259 (ln (1 0^{15}) - ln (1 0^{10} \cdot 1.5))

Apply log rule:

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

ln (1 0^{15}) = 15 ln (10)

= 0.0259 (15 ln (10) - ln (1.5 \cdot 1 0^{10}))

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

ln (\frac{4}{48})

\frac{\partial}{\partial x} (3 ln (x^{2} y + 2)) - \frac{x}{y}

ln (\frac{1.12}{0.31})

2 lo g_{a} (c) + 3 lo g_{a} (p) + 1

What is 0.0259*ln((10^{15})/(1.5*10^{10)}) ?
The solution to 0.0259*ln((10^{15})/(1.5*10^{10)}) is 0.0259(15ln(10)-ln(1.5*10^{10}))