What is ln(t/(sqrt(2t+3))) ?

The solution to ln(t/(sqrt(2t+3))) is ln(t)-ln(sqrt(2t+3))

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simplify ln(t/(sqrt(2t+3)))

simplify

ln (\frac{t}{2 t + 3})

ln (t) - ln (2 t + 3)

Solution steps

ln (\frac{t}{2 t + 3})

Apply log rule:

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

ln (\frac{t}{2 t + 3}) = ln (t) - ln (2 t + 3)

= ln (t) - ln (2 t + 3)

lo g_{8} (\frac{64}{x + 1})

9 ln (a) - 6 ln (b)

2 lo g_{10} (2) + 2 lo g_{10} (3)

2 ln (x) + 5 ln (y) - 6 ln (z)

What is ln(t/(sqrt(2t+3))) ?
The solution to ln(t/(sqrt(2t+3))) is ln(t)-ln(sqrt(2t+3))