What is simplify-18ln(3.5)+18ln(2) ?

The solution to simplify-18ln(3.5)+18ln(2) is ln(0.00004…)

Popular >

simplify-18ln(3.5)+18ln(2)

simplify

- 18 ln (3.5) + 18 ln (2)

ln (0.00004 \dots)

Decimal Notation

- 10.07308 \dots

Solution steps

- 18 ln (3.5) + 18 ln (2)

Apply log rule:

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

18 ln (3.5) = ln (3. 5^{18})

= - ln (3. 5^{18}) + 18 ln (2)

Apply log rule:

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

18 ln (2) = ln (2^{18})

= - ln (3. 5^{18}) + ln (2^{18})

Apply log rule:

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

ln (2^{18}) - ln (3. 5^{18}) = ln (\frac{2 ^{18}}{3. 5 ^{18}})

= ln (\frac{2 ^{18}}{3. 5 ^{18}})

\frac{2 ^{18}}{3. 5 ^{18}} = 0.00004 \dots

= ln (0.00004 \dots)

lo g_{e} (\frac{5 y}{x ^{3}})

ln (x^{4} e^{- x})

5 ln (5) - 4 ln (4) - 3 ln (3)

ln (\frac{47}{37})

ln (p) - ln (1 - p)

What is simplify-18ln(3.5)+18ln(2) ?
The solution to simplify-18ln(3.5)+18ln(2) is ln(0.00004…)