Question

show that log 1000=3 log2+ 3log5
​

Answer 1

Answer:

mark brainliest

Step-by-step explanation:

The answer is 3.

You can do this in 2 different ways.

One is to just plug it in your calculator, and the other is by hand.

By hand, you need to know that

log

is the same thing as

log

10

.

Therefore, if you rewrite the problem as such, you get:

log

10

1000

= ?

From here, it would be a lot easier to solve this problem by converting the logarithm into exponential form (which is simply something with an exponent, like

5

2

)

To understand how to do this, refer to the image below:

Answer 2

1000=2*2*2*5*5*5
So log 1000= 3log2+3log5