Answer: 6x
Work Shown:
For each step, the logs are all base b. This is to save time and hassle of writing tricky notation of having to write the smaller subscript 'b' multiple times. The first rule to use is that log(x^y) = y*log(x) for any base of a logarithm. The second rule is that 
meaning that the log base of itself is 1
log(b^(6x)) = 6x*log(b) .... pull down exponent using the first rule above
log(b^(6x)) = 6x*1 .... use the second rule mentioned
log(b^(6x)) = 6x
63/84 divided by 21/21
=3/4
or
63 divided by 84=0.75 which is the same thing as 3/4
The result is 1/3.
_____
The first attempt in the attached picture has parentheses in the wrong place for the second term. This simplifies to
.. (-5/-3)*(-4) +(10 -3)
.. = -20/3 +7
.. = -(6 2/3) +7
.. = 1/3
Answer: choice C
Step-by-step explanation:
sorry if wrong
Answer: x=8
Step-by-step explanation: Solve for x by simplifying both sides of the equation, then isolating the variable.
Hope this helps you out.
