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

19306 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Which Real values of x satisfy 3/ln(x) = ln(x) + 2?


Express (1 + 4 * 7^0.5)/(5 + 2 * 7^0.5) in the form m + n * 7^0.5


Expand and simplify (3 + 4*root5)(3 - 2*root5)


Express 3cos(theta) + 5sin(theta) in the form Rcos(theta - alpha) where R and alpha are constants, R>0 and 0<alpha<90. Give the exact value of R and the value of alpha to 2dp.


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