How is the expression log 32 - log 8 written as a single logarithm?
log 4
log 8
log 24
log 40
Pretty sure 32/8=4, so it would be log 4
log(a) - log(b) = log(a/b)
now just use your numbers.
Oh, logarithms, making math confusing since forever! So, to express log 32 - log 8 as a single logarithm, we can use a property of logarithms called division. It's like a magical dividing wand that simplifies things for us.
Now, let's wave that wand and simplify!
log 32 - log 8
We can rewrite this as log(32/8). And guess what, 32/8 simplifies to 4.
So, the expression log 32 - log 8 can be written as log 4. Tada! Easy peasy logarithmic squeezy!
To simplify the expression log 32 - log 8, we can use the logarithmic property that states log b - log a = log (b/a). Here's how we can apply this property step by step:
1. Start with the given expression: log 32 - log 8.
2. Apply the logarithmic property: log (32/8).
3. Simplify the division: log 4.
Therefore, the expression log 32 - log 8 is written as a single logarithm: log 4.