Find the positive value of x such that log (x) 64 = 2

Find the positive value of x such that logx64 = 2
Using the logarithm rules, we know that we can rearrange the given equation into the form:
x2 = 64
Knowing this, we square root both sides to get 
x = 8, x= -8
As the value of x must be positive, the solution must be 
x = 8

SG
Answered by Santiago G. Maths tutor

19323 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Use the formula 5p + 2q = t to find the value of q when p = 4 and t = 24. 6


If z is a complex number, solve the equation (z+i)* = 2iz+1 where the star (*) denotes the complex conjugate.


How do you differentiate a function containing e?


Find all possible values of θ for tan θ = 2 sin θ with the range 0◦ ≤ θ ≤ 360◦


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