log x base 3×log 3 base y×log y base 2=5,then x=

Answer 1

Use the change of base formula. To change from base a to base b use:

log_ax = log_bx / log_ba.

(log₃x)(log_y3)(log₂y) = 5

(log₃x)(log₃3 / log₃y)(log₃y / log₃2) = 5

log₃x / log₃2 = 5

log₂x = 5

x = 2⁵ = 32