2)
\4-2 = 1 / 16
\Apply log both sides.
\log(4-2) = log(1/16)
\Apply formula : log(ab) = b log(a)
\(-2)log(4) = log(1/16)
\log(1/16) / log(4) = -2
\Apply formula : log(a)/log(b) = Logb(a)
\Log4(1/16) = -2
\ \
\
3)
\(81)^3/4 = 27
\81¾ = 27
\Apply log both sides.
\log(81¾) = log(27)
\Apply formula : log(ab) = b log(a)
\¾log(81) = log(27)
\log(27) / log(81) = ¾
\Apply formula : log(a)/log(b) = Logb(a)
\Log81(27) = ¾
\