Solve for x log64 x 13Solutionlog64x 13 lnxln64 13 lnx

Solution

log₆₄(x) = (1/3)

=> ln(x)/ln(64) = (1/3)

=> ln(x) = ln(64)(1/3)

=> ln(x) = ln(2⁶)(1/3)

=> ln(x) = 6ln(2)(1/3)

=> ln(x) = 2ln(2)

=> ln(x) = ln(2²) = ln(4)

=> x = 4