Help with a logs questions pls!

log(base t) 5=a and log(base t) 2=b,
express the following in terms of a and b:

log(base t) ∛( 25 (2))

that is a cube root by the way guys.

log[t](5) = a
log[t](2) = b

log[t]((25 * 2)^(1/3)) =>
(1/3) * log[t](25 * 2) =>
(1/3) * (log[t](25) + log[t](2)) =>
(1/3) * (log[t](5^2) + log[t](2)) =>
(1/3) * (2 * log[t](5) + log[t](2)) =>
(1/3) * (2a + b)