Expand the logarithmic expression

logb square root of 13/74

1. 1/2 logb 13 - 1/2logb 73

2. 1/2 logb 13 + 1/2logb 73

3. logb (13-73)

4. sqrt logb (13-73)

The mathematical expression of the given above,

logb (13/74) ^1/2

Distribute the exponent to both numerator and denominator.

logb (13^1/2 / 74^1/2)

To simplify, multiply the exponent to the expression and since it is division it may be expressed as difference of two logarithms.

(1/2) (logb 13) - (1/2) (log 74)