Answer:
option a
[tex]log\frac{x^{5} }{(x-8)^{6} }[/tex]
Step-by-step explanation:
Given in the question an expression
5logx - 6log(x-6)
To solve this question we will apply two of the logarithm property
1) power rule
alogx = log[tex]x^{n}[/tex]
log[tex]x^{5}[/tex] - log[tex](x-8)^{6}[/tex]
2) substraction rule
The log of a quotient is the difference of the logs
loga (x/y) = loga x - loga y
[tex]logx^{5}- log(x-8)^{6}[/tex]
log[tex]\frac{x^{5} }{(x-8)^{6} }[/tex]
