Question

write the following as a single logarithm
6logb x + 1/2logb y.

Answer 1

\[6\log_{b}x+\frac{ 1 }{ 2 } \log_{b} y \]

Answer 2

power rule:
apply this one first number or variable which is multiplying by log become exponent of y
\[\huge\rm x \log y = \log y^x\]

Answer 3

hm

Answer 4

log x ^6?