1) Log2 56 + 2 log2 12 - log2 63= log2 (56) + log2 (12^2) - log2 (63)= log2 (56 * 144) - log2 (63)= log2 (8064) - log2 (63)
2) log3 (1/27)= log3 (3^(-3))= -3
3) log4 (2x + 3) = 34^(3) = 2x + 364 = 2x + 361 = 2xx = 30.5
4) log5 (x - 3) < 25^(2) > x - 325 > x - 328 > x.
1) Log2 56 + 2 log2 12 - log2 63
= log2 (56) + log2 (12^2) - log2 (63)
= log2 (56 * 144) - log2 (63)
= log2 (8064) - log2 (63)
2) log3 (1/27)
= log3 (3^(-3))
= -3
3) log4 (2x + 3) = 3
4^(3) = 2x + 3
64 = 2x + 3
61 = 2x
x = 30.5
4) log5 (x - 3) < 2
5^(2) > x - 3
25 > x - 3
28 > x.