Question

Solve. Show your work.log2 (x) – log2 (10) = 2

Answer 1

Given:

`\log_2(x)-\log_2(10)=2`

Find-:

Value of "x"

Explanation-:

Use the logarithm formula is:

`\log_bM-\log_bN=\log_b((M)/(N))`

Apply the formula then,

`\begin{gathered} \log_2(x)-\log_2(10)=2 \\ \\ \log_2((x)/(10))=2 \end{gathered}`

So,

The value of "x" is:

`\begin{gathered} \log_2((x)/(10))=2 \\ \\ (x)/(10)=2^2 \\ \\ (x)/(10)=4 \\ \\ x=4*10 \\ \\ x=40 \end{gathered}`

The value of "x" is 40.