What is ln(yθ^{(k+1)}*x) ?

The solution to ln(yθ^{(k+1)}*x) is ln(y)+(k+1)ln(θ)+ln(x)

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simplify ln(yθ^{(k+1)}*x)

simplify

ln (y θ^{(k + 1)} \cdot x)

ln (y) + (k + 1) ln (θ) + ln (x)

Solution steps

ln (y θ^{(k + 1)} x)

Apply log rule:

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

ln (y θ^{(k + 1)} x) = ln (y) + ln (θ^{(k + 1)}) + ln (x)

= ln (y) + ln (θ^{(k + 1)}) + ln (x)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (θ^{(k + 1)}) = (k + 1) ln (θ)

= ln (y) + (k + 1) ln (θ) + ln (x)

ln (a (2 x + 1) e^{- a x (x + 1)})

\frac{2 ln ( 2 )}{ln ( 5 )} - 4

lo g_{10} (y^{5} x)

ln (- sin (x) + 1) - ln (sin (x) + 1)

ln (\frac{35.35 - 0}{18.25 - 0})

What is ln(yθ^{(k+1)}*x) ?
The solution to ln(yθ^{(k+1)}*x) is ln(y)+(k+1)ln(θ)+ln(x)