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

Question

asked Jun 7, 2023 98.3k views

1 Answer

Frilox · Answer 1 · 2023-06-11T06:00:03+0000

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.