(46) If \( \log_{2}(8) = x \), what is the value of \( x \)?
- (a) 3
- (b) 2
- (c) 4
- (d) 1
(47) If \( \log_{7}(49) = x \), what is the value of \( x \)?
- (a) 2
- (b) 3
- (c) 4
- (d) 1
(48) If \( \log_{a}(x) = p \) and \( \log_{b}(x) = q \), what is \( \log_{ab}(x) \)?
- (a) \(p + q\)
- (b) \(p \cdot q\)
- (c) \(p – q\)
- (d) \(q – p\)
(49) Solve for \( x \) in the equation \( 10^x = 1000 \).
- (a) 3
- (b) 2
- (c) 4
- (d) 5
(50) If \( \log_{2}(x) = 5 \) and \( \log_{8}(x) = 2 \), what is \( \log_{4}(x) \)?
- (a) 10
- (b) 5
- (c) 2
- (d) 1