What is ((ln(2)*45))/(ln(10)-ln(2)) ?

The solution to ((ln(2)*45))/(ln(10)-ln(2)) is (ln(2)*45)/(ln(5))

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simplify ((ln(2)*45))/(ln(10)-ln(2))

simplify

\frac{( ln ( 2 ) \cdot 45 )}{ln ( 10 ) - ln ( 2 )}

\frac{ln ( 2 ) \cdot 45}{ln ( 5 )}

Decimal Notation

19.38044 \dots

Solution steps

\frac{( ln ( 2 ) \cdot 45 )}{ln ( 10 ) - ln ( 2 )}

Apply log rule:

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

ln (10) - ln (2) = ln (\frac{10}{2})

= \frac{45 ln ( 2 )}{ln ( \frac{10}{2} )}

Divide the numbers:

\frac{10}{2} = 5

= \frac{ln ( 2 ) \cdot 45}{ln ( 5 )}

- 20 lo g_{10} (0.2 1 - 0.01)

lo g_{10} (\frac{4 p ^{3}}{5 q ^{4}})

ln \frac{7}{5} + \frac{3}{4} x - ln - \frac{3}{5} + \frac{3}{5} x

88.6 + 10 lo g_{10} (\frac{1}{8 \cdot 60})

ln (\frac{55}{50}) + (0.06 + 0.5 \cdot 0. 4^{2}) \cdot 0.5

What is ((ln(2)*45))/(ln(10)-ln(2)) ?
The solution to ((ln(2)*45))/(ln(10)-ln(2)) is (ln(2)*45)/(ln(5))