Answer
$25_{\text{seven}}$
Work Step by Step
To convert a numeral in base five to a numeral in base seven, the following steps must be performed:
(1) Convert the numeral in base five to base ten.
$34_{\text{five}}=(3\times 5^1) + (4 \times 1)=15+4=19$
(2) Convert the result in Step (1) to a numeral in base 7 using division.
Divide $19$ by $7$:
$19 \div 7 = 2$ remainder $5$
Divide $5$ by $1$:
$5 \div 1 = 5$ remainder
Thus,
$19 = (2 \times 7^1) + (5 \times 1)
\\19= 25_{\text{seven}}$
