Write the expression below in terms of A and C

Question

Log_b3 = A             Log_b2 = C

Write the expression below in terms of A and C.

 

Log_b√(27/128)

Answer 1

log_b √(27/128)

log_b (27/128)^0.5

0.5 log_b (3³ / 2⁷)

0.5 [log_b 3³ - log_b 2⁷]

0.5 [3 lob_b 3 - 7 log_b 2]

1.5 log_b 3 - 3.5 log_b 2

1.5A - 3.5C