What is ln|sin(x)|+ln|sec(x)| ?

The solution to ln|sin(x)|+ln|sec(x)| is ln(|sin(x)||sec(x)|)

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simplify ln|sin(x)|+ln|sec(x)|

simplify

ln ∣ sin (x) ∣ + ln ∣ sec (x) ∣

ln (∣ sin (x) ∣ ∣ sec (x) ∣)

Solution steps

ln ∣ sin (x) ∣ + ln ∣ sec (x) ∣

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln ∣ sin (x) ∣ + ln ∣ sec (x) ∣ = ln (∣ sin (x) ∣ ∣ sec (x) ∣)

= ln (∣ sin (x) ∣ ∣ sec (x) ∣)

lo g_{10} (n lo g_{10} (n))

lo g_{10} (\frac{y ^{3}}{z})

lo g_{10} (48) + lo g_{10} (6) - lo g_{10} (108)

lo g_{7} (3 x + 1) - 2 lo g_{7} (1 + x)

2 ln (x + 49) - 4 ln (x - 7)

What is ln|sin(x)|+ln|sec(x)| ?
The solution to ln|sin(x)|+ln|sec(x)| is ln(|sin(x)||sec(x)|)