Express the equation in logarithmic form ex 3 x loge3 e9

Express the equation in logarithmic form. e^x = 3 x = log_e(3) e^9 = y log y = 9

Solution

e^9 = y

applying log properties

e^x = y

taking natural log on both sides

x ln e = ln y

ln e = 1

x = ln y

so we can write

9 = ln y

or

log _e y = 9