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

18612 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Integrate cos^2x + cosx + sin^2x + 3 with respect to x


For a given function F(x), what does the graph of the function F(x+2) look like in comparrison to F(x)?


Why maths is so hard sometimes?


Show that the funtion (x-3)(x^2+3x+1) has two stationary points and give the co-ordinates of these points


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