What is 0.0259*ln((1.5*10^5)/(10^{15)}) ?

The solution to 0.0259*ln((1.5*10^5)/(10^{15)}) is 0.0259(ln(150000)-15ln(10))

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simplify 0.0259ln((1.510^5)/(10^{15)})

simplify

0.0259 \cdot ln (\frac{1.5 \cdot 1 0 ^{5}}{1 0 ^{15}})

0.0259 (ln (150000) - 15 ln (10))

Decimal Notation

- 0.58586 \dots

Solution steps

0.0259 ln (\frac{1.5 \cdot 1 0 ^{5}}{1 0 ^{15}})

Apply log rule:

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

ln (\frac{1.5 \cdot 1 0 ^{5}}{1 0 ^{15}}) = ln (1.5 \cdot 1 0^{5}) - ln (1 0^{15})

= 0.0259 (ln (1 0^{5} \cdot 1.5) - ln (1 0^{15}))

Apply log rule:

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

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

= 0.0259 (ln (1.5 \cdot 1 0^{5}) - 15 ln (10))

ln (1.5 \cdot 1 0^{5}) = ln (150000)

= 0.0259 (ln (150000) - 15 ln (10))

\frac{( ln ( 30 ) - ln ( 20 ) )}{3}

- 5 ln (2) + 3 ln (3)

2^{\frac{3 l o g _{2} ( 5 )}{2}} - 3

lo g_{2} (6) - lo g_{2} (15) lo g_{2} (20)

2 ln (x^{0.5} y^{0.5})

What is 0.0259*ln((1.5*10^5)/(10^{15)}) ?
The solution to 0.0259*ln((1.5*10^5)/(10^{15)}) is 0.0259(ln(150000)-15ln(10))