Last question for logs...... (show that the statement is true)

log (base 3) 81= 4/3 log (base 2) 8

log[3](81) = (4/3) * log[2](8)
log[3](3^4) = (4/3) * log[2](2^3)
4 * log[3](3) = (4/3) * 3 * log[2](2)
4 * 1 = 4 * 1
4 = 4

Recall that if log(base a) b = c, then it follows that a^c = b.

log(base 3) 81 = 4

4/3*log(base 2) 8 = 4/3 * 3 = 4

So both sides are equal.

it is true because both equal 4.