What is simplify-(18ln(2))/(3ln(2)-ln(5)) ?

The solution to simplify-(18ln(2))/(3ln(2)-ln(5)) is -(18ln(2))/(ln(8/5))

Popular >

simplify-(18ln(2))/(3ln(2)-ln(5))

simplify

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

- \frac{18 ln ( 2 )}{ln ( \frac{8}{5} )}

Decimal Notation

- 26.54585 \dots

Solution steps

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

Apply log rule:

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

3 ln (2) = ln (2^{3})

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

Apply log rule:

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

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

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

2^{3} = 8

= - \frac{18 ln ( 2 )}{ln ( \frac{8}{5} )}

ln (\frac{1 + i}{2})

lo g_{\frac{1}{3}} (\frac{x ^{2} - x - 6}{2}) + x + 1

lo g_{10} (r^{2} s) - lo g_{10} (r s^{2}) + 1

lo g_{5} (x^{2}) - lo g_{5} (2)

What is simplify-(18ln(2))/(3ln(2)-ln(5)) ?
The solution to simplify-(18ln(2))/(3ln(2)-ln(5)) is -(18ln(2))/(ln(8/5))