Use logarithms to solve 9^x=15

According to the rules of logarithms, when you take a log of something to the power of something, you multiply the log of the base by the power, so in this case, taking logs of both sides would give us

xlog9=log15

log9 is a number so we can divide both sides to give us

x=log15/log9=1.23 to 3sf

MB
Answered by Molly B. Maths tutor

6736 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Calculate the binomial expansion of (2x+6)^5 up to x^3 where x is decreasing.


How do you differentiate y=ln(x)


If y=4x^3+3/x^2-3, what is dy/dx?


How to gain an inverse function


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:

© 2025 by IXL Learning