Question

Express in logarithmic form:
y=27(1/3)^2x

Answer 1

ln y = ln 27 + 2x*ln(1/3)
ln y = ln 27 - 2x*ln 3
ln 27 - ln y = 2x ln 3
ln (27/y) = 2x * ln 3
2x = ln(27/y)/ln(3) = log₃(27/y)
x = 1/2 log₃(27/y)