Given:
The logarithmic expression is:
To find:
The equivalent expression of given expression by using change-of-base formula.
Solution:
The change-of-base formula is:
The given expression is:
Using the change-of-base formula, we get
Where, is a constant and c>0.
Let 
, then
Therefore, the correct option is a.
Try to use long division! To calculate a fraction as a decimal, you can act like the slash is a division symbol.
So, to calculate 1/6 as a decimal, divide 1 by 6 on a sheet of paper (or a calculator) and you’ll find out what it is.
<span>6m + 1 = 23
Reorder the terms:
1 + 6m = 23
Solving
1 + 6m = 23
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + 6m = 23 + -1
Combine like terms: 1 + -1 = 0
0 + 6m = 23 + -1
6m = 23 + -1
Combine like terms: 23 + -1 = 22
6m = 22
Divide each side by '6'.
m = 3.666666667
Simplifying
m = 3.666666667 i think</span>
