Find the exact solution to: ln(x) + ln(7) = ln(21)

Log rules:

log(a) + log(b) = log(ab)

so, in this case, we must find x such that 7x = 21

thus x = 3

similarly, log(a) - log(b) = log(a/b)

rearranging the original equation we get:

ln(x) = ln(21) - ln(7)

so x = 21/7 = 3

BP
Answered by Bryan P. Maths tutor

7592 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Differentiate y=(4x - 5)^5 by using the chain rule.


Find the gradient of the line with equation 2x + 5y = 7


If y = ln (x+1) sin x , find dy/dx


Solve x^2 + x=12 by factorising


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning