Maths - logs explanation

hi, was wondering if someone could explain how this website has gone from (log4(x+1))/2 to log4((x+1)^1/2)

my teacher wasnt here for the lesson so i had to self teach. i understanfd the actual change of base formula, i just dont understand the bit above, feel like im missing something really obvious haha

thanks

link, example number 4, first bullet point: http://www.analyzemath.com/logarithmic_equations/solve.html

hi, was wondering if someone could explain how this website has gone from (log4(x+1))/2 to log4((x+1)^1/2)

hi this is a simple case of xloga = loga to power of X rule. the log4(x+1)/2 is the same as 1/2Xlog4(x+1) which = log4(x+1) to power of half

$\frac{log[4(x+1)]}{2} \equiv \frac{1}{2} \cdot log[4(x+1)]$

Since $a \cdot log(b) \equiv log(b)^{a}$

Can you work from here?