How do you solve this logarithmic equation -3 plus ln x equals 5?

Answer 1

-3 + ln x = 5

Add '3' to boths sides

Hence ln x = 8

'ln' is logarithms to the natural base , which is 2.718281.... = 'e'

Hence log(e) x = 8

x = e^(8)

x = 2.71828...^8) = 2980.95798...

NB One the calculator you will find two buttons, viz. 'log' & 'ln'.

Log is logarithsm to base '10'

Ln is logarithms to base 'e' = 2.71828.... ( The exponential .

Answer 2

-3 + ln(x) = 5

ln(x) = 8

eln(x) = e8

x = e8

x =~ 2981