Write log6 5 as a logarithm of base 4.
a)log base 4 of 5 over log base 4 of 6
b) log base 4 of 6 over log base 4 of 5
c)log base 5 of 4 over log base 6 of 4
d)log base 6 of 4 over log base 5 of 4

It is a).

Step-by-step explanation:

The rule for change of base of a log is:

logb x =  = loga x / loga b

So we have

log6 5 = log4 5 / log4 6.

x= -3

step-by-step explanation:

step 1: simplify brackets

4 - x - 1 = 6

step 2: simpilfy

3 - x = 6

step 3: subtract 3 from both sides

-x = 6 - 3

step 4: simpilfy 6 - 3

-x = 3

step 5: multiply both sides by -1

x = -3

yes

step-by-step explanation: