- #1
lionely
- 576
- 2
Everything is base 10
log(ab)-2logb -1
a+b/ b2 = a/b/10 = 10a/b?
But in the back of the book the answer is 10b/a...
log(ab)-2logb -1
a+b/ b2 = a/b/10 = 10a/b?
But in the back of the book the answer is 10b/a...
HallsofIvy said:That would be log((a/10b)
HallsofIvy said:Oh, dear, an extra parenthesis! It should be log(a/10b). The "b" is in the denominator. Prior to canceling, log(ab)- 2log(b)- 1= log(ab)- log(b^2)- log(10)= log(ab/10b2).
Not only that, but your first post is extremely unclear as to what you're trying to do.lionely said:Oh.. my order of operation was wrong.. thanks.
lionely said:Everything is base 10
log(ab)-2logb -1
a+b/ b2 = a/b/10 = 10a/b?
But in the back of the book the answer is 10b/a...
That's not what I wrote. What you have here islionely said:= log(a/b) - log(10)
= log(a/(10b))
for this part I'm kind of confused if it's log(a/b)/10
lionely said:shouldn't you invert and multiply and get log(10a/b)?
Expressing an equation or expression as one log means to rewrite it in a simplified form using only a single logarithm.
Expressing an equation as one log can make it easier to solve and can also help to identify patterns and relationships between variables.
To express an equation as one log, you can use the properties of logarithms, such as the product, quotient, and power rules, to combine multiple logarithms into a single one.
The common properties of logarithms used in expressing an equation as one log include the product rule, quotient rule, power rule, and the change of base formula.
No, not all equations can be expressed as one log. Some equations may require multiple logarithms or cannot be simplified using the properties of logarithms.