Question

Solve the given equation. If necessary, round to four decimal places. log2 3 + log2 a = log2 10

7

0.3

3.3333

20

Answer 1

3.333 if the equation is:
`\log_2(3)+\log_2(a)=\log_2(10)`

Explanation:

Looks like you are saying those are base logarithms.

I think you have the equation:

`\log_2(3)+\log_2(a)=\log_2(10)`

Use product rule, that is,
`\log(uv)=\log(u)+\log(v)`.

`\log_2(3\cdot a)=\log_2(10)`

Both sides are the same except the insides. If we want the left hand side to be the same as the right hand side, then we need 3a and 10 to be the same.

When are those the same?

Set them equal and find out!

3a=10

Divide boht sides by 3:

a=10/3

Perform the division in your calculator:

10 division sign 3

gives you 3.333333333(repeating).