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# 13k = 1210, find the value of k

### Question

13k = 1210, find the value of k

A) 4

B) 5

C) 7

D) 9

### Explanation:

Given that 13k = 1210
Converting the L.H.S to base 10, gives
$$1 \times k^1 + 3 \times k^0 = 12$$
$$k + 3 = 12$$
$$k = 12 - 3$$
$$k = 9$$

## Dicussion (1)

• Given that 13k = 1210
Converting the L.H.S to base 10, gives
$$1 \times k^1 + 3 \times k^0 = 12$$
$$k + 3 = 12$$
$$k = 12 - 3$$
$$k = 9$$