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 ▸

Sketch y = 9x – 4x^3, showing where the curve crosses the x axis.


Integral of Cosec(x)/Sec(x) (i.e. Use of trignometric identities)


Use the substitution u=3+(x+4)^1/2 to find the integral of 1/(3+(x+4)^1/2) dx between 0 and 5.


How would you differentiate 3x^4 - 2x^2 + 9x - 1