What is ln| 7/5+3/4 x|-ln|-3/5+3/5 x| ?

The solution to ln| 7/5+3/4 x|-ln|-3/5+3/5 x| is ln((|28+15x|)/(4|-3+3x|))

Popular >

simplify ln| 7/5+3/4 x|-ln|-3/5+3/5 x|

simplify

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

ln (\frac{∣ 28 + 15 x ∣}{4 ∣ - 3 + 3 x ∣})

Solution steps

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

Apply log rule:

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

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

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

Simplify

\frac{\frac{7}{5} + \frac{3}{4} x}{- \frac{3}{5} + \frac{3}{5} x} : \frac{∣ 28 + 15 x ∣}{4 ∣ - 3 + 3 x ∣}

= ln (\frac{∣ 28 + 15 x ∣}{4 ∣ - 3 + 3 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

ln (\frac{36}{11}) t + ln (\frac{1}{24})

ln (24 e^{- x - y}) + ln (15 e^{3 x - y})

- ln (\frac{3.8}{16}) - ln (\frac{5}{16})

What is ln| 7/5+3/4 x|-ln|-3/5+3/5 x| ?
The solution to ln| 7/5+3/4 x|-ln|-3/5+3/5 x| is ln((|28+15x|)/(4|-3+3x|))