When using the laws of logarithms to rewrite the expression in a form with no logarithm of a product, a quotient, or a power,

Question

When rewriting is done, what do we have for:

A = ?

B = ?

C = ?

D = ?

Answer 1

alog_bc = d

log_bc = d/a

b^(d/a) = c

a= the coefficient of the log = d/log_bc

b= the base of the log = the d/a th root of c = c^(a/d) = c^a/d

d = the log base b of c = log_bc

c = the number you're taking the log of = b raised to the d/a power = b^(d/a) = b^d/a