Question

If log x = (1/2) log y = (1/5) log z, the value of x4, y3, z-2 is

Answer 1

This is all a matter of knowing properties of exponents and logarithms. 

» ⁿ√x = x¹ / ⁿ 

log (³√10) = log (10¹ / ³) 

» log (xⁿ) = n log x 

log (10¹ / ³) = (1/3) log 10 

» log 10 = 1 

(1/3)(1) = (1/3)