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 ▸

What is integration?


How do I find the integral ∫(ln(x))^2dx ?


A curve has parametric equations x=t(t-1), y=4t/(1-t). The point S on the curve has parameter t=-1. Show that the tangent to the curve at S has equation x+3y+4=0.


Using answer to previous question state the coordinates of the minimum