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

6839 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Given y = 3x^(1/2) - 6x + 4, x > 0. 1) Find the integral of y with respect to x, simplifying each term. 2) Differentiate the equation for y with respect to x.


Find the gradient of the curve with the equation y = x^3+7x^2+1 at x=2


How do you use the chain rule?


∫ log(x) dx


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