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

Related Maths A Level answers

All answers ▸

Can you show me why the integral of 1/x is the natural log of x?


How do you solve the equation e^2x - 2e^x - 3 = 0 ?


Given that 4(cosec x)^2 - (cot x)^2 = k, express sec x in terms of k.


Prove the identity (4cos(2x))/(1+cos(2x)) = 4-2sec^2(x)